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Finding the Fourth Proportional to 17,537.14, 24,200.64 and 10,459.90

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Solution

The fourth proportional to 17,537.14, 24,200.64 and 10,459.90 is: 14,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.14 : 24,200.64 = 10,459.90 : x
  2. Step 2: Convert to fraction form
    17,537.14/24,200.64 = 10,459.90/x
  3. Step 3: Cross multiply
    17,537.14x = 24,200.64 × 10,459.90
  4. Step 4: Simplify right side
    17,537.14x = 253,136,274.34
  5. Step 5: Solve for x
    x = 253,136,274.34/17,537.14
  6. Step 6: Final answer
    x = 14,434.30

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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.