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Finding the Fourth Proportional to 24,339.91, 36,510 and 10,296.40

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Solution

The fourth proportional to 24,339.91, 36,510 and 10,296.40 is: 15,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,339.91 : 36,510 = 10,296.40 : x
  2. Step 2: Convert to fraction form
    24,339.91/36,510 = 10,296.40/x
  3. Step 3: Cross multiply
    24,339.91x = 36,510 × 10,296.40
  4. Step 4: Simplify right side
    24,339.91x = 375,921,564
  5. Step 5: Solve for x
    x = 375,921,564/24,339.91
  6. Step 6: Final answer
    x = 15,444.66

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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.