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Finding the Fourth Proportional to 24,730.71, 37,081.11 and 9,719.87

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Solution

The fourth proportional to 24,730.71, 37,081.11 and 9,719.87 is: 14,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,730.71 : 37,081.11 = 9,719.87 : x
  2. Step 2: Convert to fraction form
    24,730.71/37,081.11 = 9,719.87/x
  3. Step 3: Cross multiply
    24,730.71x = 37,081.11 × 9,719.87
  4. Step 4: Simplify right side
    24,730.71x = 360,423,383.25
  5. Step 5: Solve for x
    x = 360,423,383.25/24,730.71
  6. Step 6: Final answer
    x = 14,573.92

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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.