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Finding the Fourth Proportional to 13,122.15, 19,678.14 and 4,354.71

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Solution

The fourth proportional to 13,122.15, 19,678.14 and 4,354.71 is: 6,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.15 : 19,678.14 = 4,354.71 : x
  2. Step 2: Convert to fraction form
    13,122.15/19,678.14 = 4,354.71/x
  3. Step 3: Cross multiply
    13,122.15x = 19,678.14 × 4,354.71
  4. Step 4: Simplify right side
    13,122.15x = 85,692,593.04
  5. Step 5: Solve for x
    x = 85,692,593.04/13,122.15
  6. Step 6: Final answer
    x = 6,530.38

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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.