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Finding the Fourth Proportional to 21,658.12, 32,490.57 and 9,178.22

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Solution

The fourth proportional to 21,658.12, 32,490.57 and 9,178.22 is: 13,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.12 : 32,490.57 = 9,178.22 : x
  2. Step 2: Convert to fraction form
    21,658.12/32,490.57 = 9,178.22/x
  3. Step 3: Cross multiply
    21,658.12x = 32,490.57 × 9,178.22
  4. Step 4: Simplify right side
    21,658.12x = 298,205,599.39
  5. Step 5: Solve for x
    x = 298,205,599.39/21,658.12
  6. Step 6: Final answer
    x = 13,768.77

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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.