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Finding the Fourth Proportional to 21,428.65, 32,145.10 and 8,952.58

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Solution

The fourth proportional to 21,428.65, 32,145.10 and 8,952.58 is: 13,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,428.65 : 32,145.10 = 8,952.58 : x
  2. Step 2: Convert to fraction form
    21,428.65/32,145.10 = 8,952.58/x
  3. Step 3: Cross multiply
    21,428.65x = 32,145.10 × 8,952.58
  4. Step 4: Simplify right side
    21,428.65x = 287,781,466.70
  5. Step 5: Solve for x
    x = 287,781,466.70/21,428.65
  6. Step 6: Final answer
    x = 13,429.75

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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.