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Finding the Fourth Proportional to 13,154.70, 19,732.05 and 3,920.70

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Solution

The fourth proportional to 13,154.70, 19,732.05 and 3,920.70 is: 5,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.70 : 19,732.05 = 3,920.70 : x
  2. Step 2: Convert to fraction form
    13,154.70/19,732.05 = 3,920.70/x
  3. Step 3: Cross multiply
    13,154.70x = 19,732.05 × 3,920.70
  4. Step 4: Simplify right side
    13,154.70x = 77,363,448.44
  5. Step 5: Solve for x
    x = 77,363,448.44/13,154.70
  6. Step 6: Final answer
    x = 5,881.05

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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.