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Finding the Fourth Proportional to 21,437.52, 32,160.90 and 6,646.14

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Solution

The fourth proportional to 21,437.52, 32,160.90 and 6,646.14 is: 9,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,437.52 : 32,160.90 = 6,646.14 : x
  2. Step 2: Convert to fraction form
    21,437.52/32,160.90 = 6,646.14/x
  3. Step 3: Cross multiply
    21,437.52x = 32,160.90 × 6,646.14
  4. Step 4: Simplify right side
    21,437.52x = 213,745,843.93
  5. Step 5: Solve for x
    x = 213,745,843.93/21,437.52
  6. Step 6: Final answer
    x = 9,970.64

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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.