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Finding the Fourth Proportional to 15,098.32, 22,642.36 and 5,736.08

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Solution

The fourth proportional to 15,098.32, 22,642.36 and 5,736.08 is: 8,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.32 : 22,642.36 = 5,736.08 : x
  2. Step 2: Convert to fraction form
    15,098.32/22,642.36 = 5,736.08/x
  3. Step 3: Cross multiply
    15,098.32x = 22,642.36 × 5,736.08
  4. Step 4: Simplify right side
    15,098.32x = 129,878,430.61
  5. Step 5: Solve for x
    x = 129,878,430.61/15,098.32
  6. Step 6: Final answer
    x = 8,602.18

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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.