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Finding the Fourth Proportional to 14,719.20, 22,046.40 and 10,312.80

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Solution

The fourth proportional to 14,719.20, 22,046.40 and 10,312.80 is: 15,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.20 : 22,046.40 = 10,312.80 : x
  2. Step 2: Convert to fraction form
    14,719.20/22,046.40 = 10,312.80/x
  3. Step 3: Cross multiply
    14,719.20x = 22,046.40 × 10,312.80
  4. Step 4: Simplify right side
    14,719.20x = 227,360,113.92
  5. Step 5: Solve for x
    x = 227,360,113.92/14,719.20
  6. Step 6: Final answer
    x = 15,446.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.