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Finding the Fourth Proportional to 13,929.35, 19,215.98 and 9,157.24

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Solution

The fourth proportional to 13,929.35, 19,215.98 and 9,157.24 is: 12,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.35 : 19,215.98 = 9,157.24 : x
  2. Step 2: Convert to fraction form
    13,929.35/19,215.98 = 9,157.24/x
  3. Step 3: Cross multiply
    13,929.35x = 19,215.98 × 9,157.24
  4. Step 4: Simplify right side
    13,929.35x = 175,965,340.70
  5. Step 5: Solve for x
    x = 175,965,340.70/13,929.35
  6. Step 6: Final answer
    x = 12,632.70

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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.