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Finding the Fourth Proportional to 17,534.08, 24,189.60 and 10,459.12

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Solution

The fourth proportional to 17,534.08, 24,189.60 and 10,459.12 is: 14,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.08 : 24,189.60 = 10,459.12 : x
  2. Step 2: Convert to fraction form
    17,534.08/24,189.60 = 10,459.12/x
  3. Step 3: Cross multiply
    17,534.08x = 24,189.60 × 10,459.12
  4. Step 4: Simplify right side
    17,534.08x = 253,001,929.15
  5. Step 5: Solve for x
    x = 253,001,929.15/17,534.08
  6. Step 6: Final answer
    x = 14,429.15

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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.