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Finding the Fourth Proportional to 21,527.09, 32,292 and 5,731.86

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Solution

The fourth proportional to 21,527.09, 32,292 and 5,731.86 is: 8,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.09 : 32,292 = 5,731.86 : x
  2. Step 2: Convert to fraction form
    21,527.09/32,292 = 5,731.86/x
  3. Step 3: Cross multiply
    21,527.09x = 32,292 × 5,731.86
  4. Step 4: Simplify right side
    21,527.09x = 185,093,223.12
  5. Step 5: Solve for x
    x = 185,093,223.12/21,527.09
  6. Step 6: Final answer
    x = 8,598.15

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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.