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Finding the Fourth Proportional to 24,644.52, 36,963.14 and 9,058.50

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Solution

The fourth proportional to 24,644.52, 36,963.14 and 9,058.50 is: 13,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.52 : 36,963.14 = 9,058.50 : x
  2. Step 2: Convert to fraction form
    24,644.52/36,963.14 = 9,058.50/x
  3. Step 3: Cross multiply
    24,644.52x = 36,963.14 × 9,058.50
  4. Step 4: Simplify right side
    24,644.52x = 334,830,558.40
  5. Step 5: Solve for x
    x = 334,830,558.40/24,644.52
  6. Step 6: Final answer
    x = 13,586.41

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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.