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Finding the Fourth Proportional to 16,337.19, 24,498 and 9,584.81

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Solution

The fourth proportional to 16,337.19, 24,498 and 9,584.81 is: 14,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,337.19 : 24,498 = 9,584.81 : x
  2. Step 2: Convert to fraction form
    16,337.19/24,498 = 9,584.81/x
  3. Step 3: Cross multiply
    16,337.19x = 24,498 × 9,584.81
  4. Step 4: Simplify right side
    16,337.19x = 234,808,552.89
  5. Step 5: Solve for x
    x = 234,808,552.89/16,337.19
  6. Step 6: Final answer
    x = 14,372.64

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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.