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Finding the Fourth Proportional to 24,324, 36,490.80 and 7,686.48

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Solution

The fourth proportional to 24,324, 36,490.80 and 7,686.48 is: 11,531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,324 : 36,490.80 = 7,686.48 : x
  2. Step 2: Convert to fraction form
    24,324/36,490.80 = 7,686.48/x
  3. Step 3: Cross multiply
    24,324x = 36,490.80 × 7,686.48
  4. Step 4: Simplify right side
    24,324x = 280,485,804.38
  5. Step 5: Solve for x
    x = 280,485,804.38/24,324
  6. Step 6: Final answer
    x = 11,531.24

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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.