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Finding the Fourth Proportional to 21,430.80, 32,154.66 and 6,640.86

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Solution

The fourth proportional to 21,430.80, 32,154.66 and 6,640.86 is: 9,963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,430.80 : 32,154.66 = 6,640.86 : x
  2. Step 2: Convert to fraction form
    21,430.80/32,154.66 = 6,640.86/x
  3. Step 3: Cross multiply
    21,430.80x = 32,154.66 × 6,640.86
  4. Step 4: Simplify right side
    21,430.80x = 213,534,595.41
  5. Step 5: Solve for x
    x = 213,534,595.41/21,430.80
  6. Step 6: Final answer
    x = 9,963.91

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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.