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Finding the Fourth Proportional to 24,534.17, 36,801.25 and 7,895.50

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Solution

The fourth proportional to 24,534.17, 36,801.25 and 7,895.50 is: 11,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.17 : 36,801.25 = 7,895.50 : x
  2. Step 2: Convert to fraction form
    24,534.17/36,801.25 = 7,895.50/x
  3. Step 3: Cross multiply
    24,534.17x = 36,801.25 × 7,895.50
  4. Step 4: Simplify right side
    24,534.17x = 290,564,174.53
  5. Step 5: Solve for x
    x = 290,564,174.53/24,534.17
  6. Step 6: Final answer
    x = 11,843.25

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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.