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Finding the Fourth Proportional to 16,585.54, 24,852.39 and 9,569.86

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Solution

The fourth proportional to 16,585.54, 24,852.39 and 9,569.86 is: 14,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.54 : 24,852.39 = 9,569.86 : x
  2. Step 2: Convert to fraction form
    16,585.54/24,852.39 = 9,569.86/x
  3. Step 3: Cross multiply
    16,585.54x = 24,852.39 × 9,569.86
  4. Step 4: Simplify right side
    16,585.54x = 237,833,892.97
  5. Step 5: Solve for x
    x = 237,833,892.97/16,585.54
  6. Step 6: Final answer
    x = 14,339.83

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Why These Related Problems?

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