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Finding the Fourth Proportional to 13,441.47, 20,167.14 and 4,678.89

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Solution

The fourth proportional to 13,441.47, 20,167.14 and 4,678.89 is: 7,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.47 : 20,167.14 = 4,678.89 : x
  2. Step 2: Convert to fraction form
    13,441.47/20,167.14 = 4,678.89/x
  3. Step 3: Cross multiply
    13,441.47x = 20,167.14 × 4,678.89
  4. Step 4: Simplify right side
    13,441.47x = 94,359,829.67
  5. Step 5: Solve for x
    x = 94,359,829.67/13,441.47
  6. Step 6: Final answer
    x = 7,020.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.