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Finding the Fourth Proportional to 24,582.70, 36,870 and 10,545

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Solution

The fourth proportional to 24,582.70, 36,870 and 10,545 is: 15,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,582.70 : 36,870 = 10,545 : x
  2. Step 2: Convert to fraction form
    24,582.70/36,870 = 10,545/x
  3. Step 3: Cross multiply
    24,582.70x = 36,870 × 10,545
  4. Step 4: Simplify right side
    24,582.70x = 388,794,150
  5. Step 5: Solve for x
    x = 388,794,150/24,582.70
  6. Step 6: Final answer
    x = 15,815.76

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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.