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Finding the Fourth Proportional to 21,407.46, 32,104.70 and 5,823.06

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Solution

The fourth proportional to 21,407.46, 32,104.70 and 5,823.06 is: 8,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.46 : 32,104.70 = 5,823.06 : x
  2. Step 2: Convert to fraction form
    21,407.46/32,104.70 = 5,823.06/x
  3. Step 3: Cross multiply
    21,407.46x = 32,104.70 × 5,823.06
  4. Step 4: Simplify right side
    21,407.46x = 186,947,594.38
  5. Step 5: Solve for x
    x = 186,947,594.38/21,407.46
  6. Step 6: Final answer
    x = 8,732.82

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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.