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Finding the Fourth Proportional to 24,373.45, 36,565.64 and 7,734.02

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Solution

The fourth proportional to 24,373.45, 36,565.64 and 7,734.02 is: 11,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,373.45 : 36,565.64 = 7,734.02 : x
  2. Step 2: Convert to fraction form
    24,373.45/36,565.64 = 7,734.02/x
  3. Step 3: Cross multiply
    24,373.45x = 36,565.64 × 7,734.02
  4. Step 4: Simplify right side
    24,373.45x = 282,799,404.26
  5. Step 5: Solve for x
    x = 282,799,404.26/24,373.45
  6. Step 6: Final answer
    x = 11,602.77

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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.