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Finding the Fourth Proportional to 16,516.44, 24,778.98 and 9,585

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Solution

The fourth proportional to 16,516.44, 24,778.98 and 9,585 is: 14,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.44 : 24,778.98 = 9,585 : x
  2. Step 2: Convert to fraction form
    16,516.44/24,778.98 = 9,585/x
  3. Step 3: Cross multiply
    16,516.44x = 24,778.98 × 9,585
  4. Step 4: Simplify right side
    16,516.44x = 237,506,523.30
  5. Step 5: Solve for x
    x = 237,506,523.30/16,516.44
  6. Step 6: Final answer
    x = 14,380.01

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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.