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Finding the Fourth Proportional to 22,484.31, 31,026.75 and 12,411.13

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Solution

The fourth proportional to 22,484.31, 31,026.75 and 12,411.13 is: 17,126.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.31 : 31,026.75 = 12,411.13 : x
  2. Step 2: Convert to fraction form
    22,484.31/31,026.75 = 12,411.13/x
  3. Step 3: Cross multiply
    22,484.31x = 31,026.75 × 12,411.13
  4. Step 4: Simplify right side
    22,484.31x = 385,077,027.73
  5. Step 5: Solve for x
    x = 385,077,027.73/22,484.31
  6. Step 6: Final answer
    x = 17,126.48

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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.