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Finding the Fourth Proportional to 24,582.98, 36,874.67 and 7,053.36

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Solution

The fourth proportional to 24,582.98, 36,874.67 and 7,053.36 is: 10,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,582.98 : 36,874.67 = 7,053.36 : x
  2. Step 2: Convert to fraction form
    24,582.98/36,874.67 = 7,053.36/x
  3. Step 3: Cross multiply
    24,582.98x = 36,874.67 × 7,053.36
  4. Step 4: Simplify right side
    24,582.98x = 260,090,287.12
  5. Step 5: Solve for x
    x = 260,090,287.12/24,582.98
  6. Step 6: Final answer
    x = 10,580.10

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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.