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Finding the Fourth Proportional to 21,597.72, 32,377.14 and 7,737

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Solution

The fourth proportional to 21,597.72, 32,377.14 and 7,737 is: 11,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597.72 : 32,377.14 = 7,737 : x
  2. Step 2: Convert to fraction form
    21,597.72/32,377.14 = 7,737/x
  3. Step 3: Cross multiply
    21,597.72x = 32,377.14 × 7,737
  4. Step 4: Simplify right side
    21,597.72x = 250,501,932.18
  5. Step 5: Solve for x
    x = 250,501,932.18/21,597.72
  6. Step 6: Final answer
    x = 11,598.54

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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.