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Finding the Fourth Proportional to 10,691.80, 15,924.95 and 10,212.08

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Solution

The fourth proportional to 10,691.80, 15,924.95 and 10,212.08 is: 15,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.80 : 15,924.95 = 10,212.08 : x
  2. Step 2: Convert to fraction form
    10,691.80/15,924.95 = 10,212.08/x
  3. Step 3: Cross multiply
    10,691.80x = 15,924.95 × 10,212.08
  4. Step 4: Simplify right side
    10,691.80x = 162,626,828.45
  5. Step 5: Solve for x
    x = 162,626,828.45/10,691.80
  6. Step 6: Final answer
    x = 15,210.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.