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Finding the Fourth Proportional to 13,123.14, 18,109.76 and 7,154.80

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Solution

The fourth proportional to 13,123.14, 18,109.76 and 7,154.80 is: 9,873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.14 : 18,109.76 = 7,154.80 : x
  2. Step 2: Convert to fraction form
    13,123.14/18,109.76 = 7,154.80/x
  3. Step 3: Cross multiply
    13,123.14x = 18,109.76 × 7,154.80
  4. Step 4: Simplify right side
    13,123.14x = 129,571,656.63
  5. Step 5: Solve for x
    x = 129,571,656.63/13,123.14
  6. Step 6: Final answer
    x = 9,873.53

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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.