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Finding the Fourth Proportional to 22,803.71, 31,462.07 and 12,730.76

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Solution

The fourth proportional to 22,803.71, 31,462.07 and 12,730.76 is: 17,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803.71 : 31,462.07 = 12,730.76 : x
  2. Step 2: Convert to fraction form
    22,803.71/31,462.07 = 12,730.76/x
  3. Step 3: Cross multiply
    22,803.71x = 31,462.07 × 12,730.76
  4. Step 4: Simplify right side
    22,803.71x = 400,535,841.31
  5. Step 5: Solve for x
    x = 400,535,841.31/22,803.71
  6. Step 6: Final answer
    x = 17,564.51

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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.