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Finding the Fourth Proportional to 22,742.84, 34,103.93 and 9,588.03

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Solution

The fourth proportional to 22,742.84, 34,103.93 and 9,588.03 is: 14,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742.84 : 34,103.93 = 9,588.03 : x
  2. Step 2: Convert to fraction form
    22,742.84/34,103.93 = 9,588.03/x
  3. Step 3: Cross multiply
    22,742.84x = 34,103.93 × 9,588.03
  4. Step 4: Simplify right side
    22,742.84x = 326,989,456.02
  5. Step 5: Solve for x
    x = 326,989,456.02/22,742.84
  6. Step 6: Final answer
    x = 14,377.69

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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.