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Finding the Fourth Proportional to 21,402.65, 32,107.05 and 6,612.86

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Solution

The fourth proportional to 21,402.65, 32,107.05 and 6,612.86 is: 9,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.65 : 32,107.05 = 6,612.86 : x
  2. Step 2: Convert to fraction form
    21,402.65/32,107.05 = 6,612.86/x
  3. Step 3: Cross multiply
    21,402.65x = 32,107.05 × 6,612.86
  4. Step 4: Simplify right side
    21,402.65x = 212,319,506.93
  5. Step 5: Solve for x
    x = 212,319,506.93/21,402.65
  6. Step 6: Final answer
    x = 9,920.24

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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.