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Finding the Fourth Proportional to 21,117.76, 31,685.12 and 9,423.04

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Solution

The fourth proportional to 21,117.76, 31,685.12 and 9,423.04 is: 14,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,117.76 : 31,685.12 = 9,423.04 : x
  2. Step 2: Convert to fraction form
    21,117.76/31,685.12 = 9,423.04/x
  3. Step 3: Cross multiply
    21,117.76x = 31,685.12 × 9,423.04
  4. Step 4: Simplify right side
    21,117.76x = 298,570,153.16
  5. Step 5: Solve for x
    x = 298,570,153.16/21,117.76
  6. Step 6: Final answer
    x = 14,138.34

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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.