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Finding the Fourth Proportional to 13,123.34, 18,109.84 and 7,155.12

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Solution

The fourth proportional to 13,123.34, 18,109.84 and 7,155.12 is: 9,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.34 : 18,109.84 = 7,155.12 : x
  2. Step 2: Convert to fraction form
    13,123.34/18,109.84 = 7,155.12/x
  3. Step 3: Cross multiply
    13,123.34x = 18,109.84 × 7,155.12
  4. Step 4: Simplify right side
    13,123.34x = 129,578,078.38
  5. Step 5: Solve for x
    x = 129,578,078.38/13,123.34
  6. Step 6: Final answer
    x = 9,873.86

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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.