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Finding the Fourth Proportional to 21,646.98, 32,475.33 and 6,854.76

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Solution

The fourth proportional to 21,646.98, 32,475.33 and 6,854.76 is: 10,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.98 : 32,475.33 = 6,854.76 : x
  2. Step 2: Convert to fraction form
    21,646.98/32,475.33 = 6,854.76/x
  3. Step 3: Cross multiply
    21,646.98x = 32,475.33 × 6,854.76
  4. Step 4: Simplify right side
    21,646.98x = 222,610,593.07
  5. Step 5: Solve for x
    x = 222,610,593.07/21,646.98
  6. Step 6: Final answer
    x = 10,283.68

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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.