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Finding the Fourth Proportional to 16,354.17, 24,507.77 and 9,319.59

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Solution

The fourth proportional to 16,354.17, 24,507.77 and 9,319.59 is: 13,966.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.17 : 24,507.77 = 9,319.59 : x
  2. Step 2: Convert to fraction form
    16,354.17/24,507.77 = 9,319.59/x
  3. Step 3: Cross multiply
    16,354.17x = 24,507.77 × 9,319.59
  4. Step 4: Simplify right side
    16,354.17x = 228,402,321.62
  5. Step 5: Solve for x
    x = 228,402,321.62/16,354.17
  6. Step 6: Final answer
    x = 13,966.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.