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Finding the Fourth Proportional to 21,534.33, 32,298.93 and 5,740.55

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Solution

The fourth proportional to 21,534.33, 32,298.93 and 5,740.55 is: 8,610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534.33 : 32,298.93 = 5,740.55 : x
  2. Step 2: Convert to fraction form
    21,534.33/32,298.93 = 5,740.55/x
  3. Step 3: Cross multiply
    21,534.33x = 32,298.93 × 5,740.55
  4. Step 4: Simplify right side
    21,534.33x = 185,413,475.25
  5. Step 5: Solve for x
    x = 185,413,475.25/21,534.33
  6. Step 6: Final answer
    x = 8,610.13

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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.