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Finding the Fourth Proportional to 24,506.52, 33,817.05 and 13,897.86

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Solution

The fourth proportional to 24,506.52, 33,817.05 and 13,897.86 is: 19,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.52 : 33,817.05 = 13,897.86 : x
  2. Step 2: Convert to fraction form
    24,506.52/33,817.05 = 13,897.86/x
  3. Step 3: Cross multiply
    24,506.52x = 33,817.05 × 13,897.86
  4. Step 4: Simplify right side
    24,506.52x = 469,984,626.51
  5. Step 5: Solve for x
    x = 469,984,626.51/24,506.52
  6. Step 6: Final answer
    x = 19,177.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.