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Finding the Fourth Proportional to 16,402.10, 24,603.68 and 5,308.88

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Solution

The fourth proportional to 16,402.10, 24,603.68 and 5,308.88 is: 7,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.10 : 24,603.68 = 5,308.88 : x
  2. Step 2: Convert to fraction form
    16,402.10/24,603.68 = 5,308.88/x
  3. Step 3: Cross multiply
    16,402.10x = 24,603.68 × 5,308.88
  4. Step 4: Simplify right side
    16,402.10x = 130,617,874.93
  5. Step 5: Solve for x
    x = 130,617,874.93/16,402.10
  6. Step 6: Final answer
    x = 7,963.49

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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.