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Finding the Fourth Proportional to 17,840.12, 24,619.04 and 9,882.16

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Solution

The fourth proportional to 17,840.12, 24,619.04 and 9,882.16 is: 13,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,840.12 : 24,619.04 = 9,882.16 : x
  2. Step 2: Convert to fraction form
    17,840.12/24,619.04 = 9,882.16/x
  3. Step 3: Cross multiply
    17,840.12x = 24,619.04 × 9,882.16
  4. Step 4: Simplify right side
    17,840.12x = 243,289,292.33
  5. Step 5: Solve for x
    x = 243,289,292.33/17,840.12
  6. Step 6: Final answer
    x = 13,637.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.