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Finding the Fourth Proportional to 21,701.84, 32,555.37 and 7,658.97

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Solution

The fourth proportional to 21,701.84, 32,555.37 and 7,658.97 is: 11,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701.84 : 32,555.37 = 7,658.97 : x
  2. Step 2: Convert to fraction form
    21,701.84/32,555.37 = 7,658.97/x
  3. Step 3: Cross multiply
    21,701.84x = 32,555.37 × 7,658.97
  4. Step 4: Simplify right side
    21,701.84x = 249,340,602.17
  5. Step 5: Solve for x
    x = 249,340,602.17/21,701.84
  6. Step 6: Final answer
    x = 11,489.38

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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.