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Finding the Fourth Proportional to 15,233.04, 22,851.96 and 6,468

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Solution

The fourth proportional to 15,233.04, 22,851.96 and 6,468 is: 9,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233.04 : 22,851.96 = 6,468 : x
  2. Step 2: Convert to fraction form
    15,233.04/22,851.96 = 6,468/x
  3. Step 3: Cross multiply
    15,233.04x = 22,851.96 × 6,468
  4. Step 4: Simplify right side
    15,233.04x = 147,806,477.28
  5. Step 5: Solve for x
    x = 147,806,477.28/15,233.04
  6. Step 6: Final answer
    x = 9,703.02

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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.