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Finding the Fourth Proportional to 15,348.50, 21,181.17 and 9,767.06

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Solution

The fourth proportional to 15,348.50, 21,181.17 and 9,767.06 is: 13,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,348.50 : 21,181.17 = 9,767.06 : x
  2. Step 2: Convert to fraction form
    15,348.50/21,181.17 = 9,767.06/x
  3. Step 3: Cross multiply
    15,348.50x = 21,181.17 × 9,767.06
  4. Step 4: Simplify right side
    15,348.50x = 206,877,758.26
  5. Step 5: Solve for x
    x = 206,877,758.26/15,348.50
  6. Step 6: Final answer
    x = 13,478.70

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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.