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Finding the Fourth Proportional to 21,510.74, 32,233.23 and 9,023.99

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Solution

The fourth proportional to 21,510.74, 32,233.23 and 9,023.99 is: 13,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510.74 : 32,233.23 = 9,023.99 : x
  2. Step 2: Convert to fraction form
    21,510.74/32,233.23 = 9,023.99/x
  3. Step 3: Cross multiply
    21,510.74x = 32,233.23 × 9,023.99
  4. Step 4: Simplify right side
    21,510.74x = 290,872,184.02
  5. Step 5: Solve for x
    x = 290,872,184.02/21,510.74
  6. Step 6: Final answer
    x = 13,522.19

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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.