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Finding the Fourth Proportional to 22,802, 31,467.84 and 12,730.76

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Solution

The fourth proportional to 22,802, 31,467.84 and 12,730.76 is: 17,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802 : 31,467.84 = 12,730.76 : x
  2. Step 2: Convert to fraction form
    22,802/31,467.84 = 12,730.76/x
  3. Step 3: Cross multiply
    22,802x = 31,467.84 × 12,730.76
  4. Step 4: Simplify right side
    22,802x = 400,609,518.76
  5. Step 5: Solve for x
    x = 400,609,518.76/22,802
  6. Step 6: Final answer
    x = 17,569.05

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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.