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Finding the Fourth Proportional to 24,808.16, 37,153.92 and 11,632.16

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Solution

The fourth proportional to 24,808.16, 37,153.92 and 11,632.16 is: 17,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808.16 : 37,153.92 = 11,632.16 : x
  2. Step 2: Convert to fraction form
    24,808.16/37,153.92 = 11,632.16/x
  3. Step 3: Cross multiply
    24,808.16x = 37,153.92 × 11,632.16
  4. Step 4: Simplify right side
    24,808.16x = 432,180,342.07
  5. Step 5: Solve for x
    x = 432,180,342.07/24,808.16
  6. Step 6: Final answer
    x = 17,420.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.