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Finding the Fourth Proportional to 24,038.16, 36,056.16 and 7,397.52

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Solution

The fourth proportional to 24,038.16, 36,056.16 and 7,397.52 is: 11,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,038.16 : 36,056.16 = 7,397.52 : x
  2. Step 2: Convert to fraction form
    24,038.16/36,056.16 = 7,397.52/x
  3. Step 3: Cross multiply
    24,038.16x = 36,056.16 × 7,397.52
  4. Step 4: Simplify right side
    24,038.16x = 266,726,164.72
  5. Step 5: Solve for x
    x = 266,726,164.72/24,038.16
  6. Step 6: Final answer
    x = 11,095.95

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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.