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Finding the Fourth Proportional to 21,710.48, 32,567.23 and 9,229.08

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Solution

The fourth proportional to 21,710.48, 32,567.23 and 9,229.08 is: 13,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.48 : 32,567.23 = 9,229.08 : x
  2. Step 2: Convert to fraction form
    21,710.48/32,567.23 = 9,229.08/x
  3. Step 3: Cross multiply
    21,710.48x = 32,567.23 × 9,229.08
  4. Step 4: Simplify right side
    21,710.48x = 300,565,704.71
  5. Step 5: Solve for x
    x = 300,565,704.71/21,710.48
  6. Step 6: Final answer
    x = 13,844.27

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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.