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Finding the Fourth Proportional to 21,433.60, 32,148.58 and 6,642.19

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Solution

The fourth proportional to 21,433.60, 32,148.58 and 6,642.19 is: 9,962.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,433.60 : 32,148.58 = 6,642.19 : x
  2. Step 2: Convert to fraction form
    21,433.60/32,148.58 = 6,642.19/x
  3. Step 3: Cross multiply
    21,433.60x = 32,148.58 × 6,642.19
  4. Step 4: Simplify right side
    21,433.60x = 213,536,976.59
  5. Step 5: Solve for x
    x = 213,536,976.59/21,433.60
  6. Step 6: Final answer
    x = 9,962.72

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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.