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Finding the Fourth Proportional to 21,191.76, 31,792.50 and 9,348.91

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Solution

The fourth proportional to 21,191.76, 31,792.50 and 9,348.91 is: 14,025.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.76 : 31,792.50 = 9,348.91 : x
  2. Step 2: Convert to fraction form
    21,191.76/31,792.50 = 9,348.91/x
  3. Step 3: Cross multiply
    21,191.76x = 31,792.50 × 9,348.91
  4. Step 4: Simplify right side
    21,191.76x = 297,225,141.69
  5. Step 5: Solve for x
    x = 297,225,141.69/21,191.76
  6. Step 6: Final answer
    x = 14,025.51

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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.