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Finding the Fourth Proportional to 15,348, 21,180.48 and 9,766.56

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Solution

The fourth proportional to 15,348, 21,180.48 and 9,766.56 is: 13,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,348 : 21,180.48 = 9,766.56 : x
  2. Step 2: Convert to fraction form
    15,348/21,180.48 = 9,766.56/x
  3. Step 3: Cross multiply
    15,348x = 21,180.48 × 9,766.56
  4. Step 4: Simplify right side
    15,348x = 206,860,428.75
  5. Step 5: Solve for x
    x = 206,860,428.75/15,348
  6. Step 6: Final answer
    x = 13,478.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.