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Finding the Fourth Proportional to 15,141.48, 22,712.22 and 6,811.76

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Solution

The fourth proportional to 15,141.48, 22,712.22 and 6,811.76 is: 10,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.48 : 22,712.22 = 6,811.76 : x
  2. Step 2: Convert to fraction form
    15,141.48/22,712.22 = 6,811.76/x
  3. Step 3: Cross multiply
    15,141.48x = 22,712.22 × 6,811.76
  4. Step 4: Simplify right side
    15,141.48x = 154,710,191.71
  5. Step 5: Solve for x
    x = 154,710,191.71/15,141.48
  6. Step 6: Final answer
    x = 10,217.64

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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.