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Finding the Fourth Proportional to 29,098.08, 40,159.74 and 17,774.16

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Solution

The fourth proportional to 29,098.08, 40,159.74 and 17,774.16 is: 24,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098.08 : 40,159.74 = 17,774.16 : x
  2. Step 2: Convert to fraction form
    29,098.08/40,159.74 = 17,774.16/x
  3. Step 3: Cross multiply
    29,098.08x = 40,159.74 × 17,774.16
  4. Step 4: Simplify right side
    29,098.08x = 713,805,644.32
  5. Step 5: Solve for x
    x = 713,805,644.32/29,098.08
  6. Step 6: Final answer
    x = 24,531.02

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