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Finding the Fourth Proportional to 22,484.89, 31,032.81 and 13,411.40

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Solution

The fourth proportional to 22,484.89, 31,032.81 and 13,411.40 is: 18,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.89 : 31,032.81 = 13,411.40 : x
  2. Step 2: Convert to fraction form
    22,484.89/31,032.81 = 13,411.40/x
  3. Step 3: Cross multiply
    22,484.89x = 31,032.81 × 13,411.40
  4. Step 4: Simplify right side
    22,484.89x = 416,193,360.98
  5. Step 5: Solve for x
    x = 416,193,360.98/22,484.89
  6. Step 6: Final answer
    x = 18,509.92

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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.