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Finding the Fourth Proportional to 21,527.78, 32,296.10 and 9,040.46

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Solution

The fourth proportional to 21,527.78, 32,296.10 and 9,040.46 is: 13,562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.78 : 32,296.10 = 9,040.46 : x
  2. Step 2: Convert to fraction form
    21,527.78/32,296.10 = 9,040.46/x
  3. Step 3: Cross multiply
    21,527.78x = 32,296.10 × 9,040.46
  4. Step 4: Simplify right side
    21,527.78x = 291,971,393.52
  5. Step 5: Solve for x
    x = 291,971,393.52/21,527.78
  6. Step 6: Final answer
    x = 13,562.54

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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.