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Finding the Fourth Proportional to 13,154.56, 19,740 and 5,363.36

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Solution

The fourth proportional to 13,154.56, 19,740 and 5,363.36 is: 8,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.56 : 19,740 = 5,363.36 : x
  2. Step 2: Convert to fraction form
    13,154.56/19,740 = 5,363.36/x
  3. Step 3: Cross multiply
    13,154.56x = 19,740 × 5,363.36
  4. Step 4: Simplify right side
    13,154.56x = 105,872,726.40
  5. Step 5: Solve for x
    x = 105,872,726.40/13,154.56
  6. Step 6: Final answer
    x = 8,048.37

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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.