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Finding the Fourth Proportional to 16,386.20, 24,582.49 and 7,024.93

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Solution

The fourth proportional to 16,386.20, 24,582.49 and 7,024.93 is: 10,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.20 : 24,582.49 = 7,024.93 : x
  2. Step 2: Convert to fraction form
    16,386.20/24,582.49 = 7,024.93/x
  3. Step 3: Cross multiply
    16,386.20x = 24,582.49 × 7,024.93
  4. Step 4: Simplify right side
    16,386.20x = 172,690,192.46
  5. Step 5: Solve for x
    x = 172,690,192.46/16,386.20
  6. Step 6: Final answer
    x = 10,538.76

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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.