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Finding the Fourth Proportional to 14,256.12, 19,679.02 and 9,538.68

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Solution

The fourth proportional to 14,256.12, 19,679.02 and 9,538.68 is: 13,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256.12 : 19,679.02 = 9,538.68 : x
  2. Step 2: Convert to fraction form
    14,256.12/19,679.02 = 9,538.68/x
  3. Step 3: Cross multiply
    14,256.12x = 19,679.02 × 9,538.68
  4. Step 4: Simplify right side
    14,256.12x = 187,711,874.49
  5. Step 5: Solve for x
    x = 187,711,874.49/14,256.12
  6. Step 6: Final answer
    x = 13,167.11

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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.