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Finding the Fourth Proportional to 21,402.74, 32,098.35 and 7,549.94

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Solution

The fourth proportional to 21,402.74, 32,098.35 and 7,549.94 is: 11,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.74 : 32,098.35 = 7,549.94 : x
  2. Step 2: Convert to fraction form
    21,402.74/32,098.35 = 7,549.94/x
  3. Step 3: Cross multiply
    21,402.74x = 32,098.35 × 7,549.94
  4. Step 4: Simplify right side
    21,402.74x = 242,340,616.60
  5. Step 5: Solve for x
    x = 242,340,616.60/21,402.74
  6. Step 6: Final answer
    x = 11,322.88

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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.