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Finding the Fourth Proportional to 21,032.74, 31,558.37 and 9,947.38

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Solution

The fourth proportional to 21,032.74, 31,558.37 and 9,947.38 is: 14,925.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032.74 : 31,558.37 = 9,947.38 : x
  2. Step 2: Convert to fraction form
    21,032.74/31,558.37 = 9,947.38/x
  3. Step 3: Cross multiply
    21,032.74x = 31,558.37 × 9,947.38
  4. Step 4: Simplify right side
    21,032.74x = 313,923,098.57
  5. Step 5: Solve for x
    x = 313,923,098.57/21,032.74
  6. Step 6: Final answer
    x = 14,925.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.