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Finding the Fourth Proportional to 21,658.34, 32,487.69 and 7,618.47

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Solution

The fourth proportional to 21,658.34, 32,487.69 and 7,618.47 is: 11,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.34 : 32,487.69 = 7,618.47 : x
  2. Step 2: Convert to fraction form
    21,658.34/32,487.69 = 7,618.47/x
  3. Step 3: Cross multiply
    21,658.34x = 32,487.69 × 7,618.47
  4. Step 4: Simplify right side
    21,658.34x = 247,506,398.37
  5. Step 5: Solve for x
    x = 247,506,398.37/21,658.34
  6. Step 6: Final answer
    x = 11,427.76

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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.