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Finding the Fourth Proportional to 21,421.95, 32,145.08 and 8,275.25

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Solution

The fourth proportional to 21,421.95, 32,145.08 and 8,275.25 is: 12,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,421.95 : 32,145.08 = 8,275.25 : x
  2. Step 2: Convert to fraction form
    21,421.95/32,145.08 = 8,275.25/x
  3. Step 3: Cross multiply
    21,421.95x = 32,145.08 × 8,275.25
  4. Step 4: Simplify right side
    21,421.95x = 266,008,371.17
  5. Step 5: Solve for x
    x = 266,008,371.17/21,421.95
  6. Step 6: Final answer
    x = 12,417.56

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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.