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Finding the Fourth Proportional to 15,920.16, 23,878.80 and 4,232.94

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Solution

The fourth proportional to 15,920.16, 23,878.80 and 4,232.94 is: 6,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.16 : 23,878.80 = 4,232.94 : x
  2. Step 2: Convert to fraction form
    15,920.16/23,878.80 = 4,232.94/x
  3. Step 3: Cross multiply
    15,920.16x = 23,878.80 × 4,232.94
  4. Step 4: Simplify right side
    15,920.16x = 101,077,527.67
  5. Step 5: Solve for x
    x = 101,077,527.67/15,920.16
  6. Step 6: Final answer
    x = 6,349.03

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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.