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Finding the Fourth Proportional to 13,559.53, 18,712.24 and 7,897.58

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Solution

The fourth proportional to 13,559.53, 18,712.24 and 7,897.58 is: 10,898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,559.53 : 18,712.24 = 7,897.58 : x
  2. Step 2: Convert to fraction form
    13,559.53/18,712.24 = 7,897.58/x
  3. Step 3: Cross multiply
    13,559.53x = 18,712.24 × 7,897.58
  4. Step 4: Simplify right side
    13,559.53x = 147,781,412.38
  5. Step 5: Solve for x
    x = 147,781,412.38/13,559.53
  6. Step 6: Final answer
    x = 10,898.71

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Why These Related Problems?

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