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Finding the Fourth Proportional to 15,175.35, 22,759.38 and 7,776

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Solution

The fourth proportional to 15,175.35, 22,759.38 and 7,776 is: 11,662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.35 : 22,759.38 = 7,776 : x
  2. Step 2: Convert to fraction form
    15,175.35/22,759.38 = 7,776/x
  3. Step 3: Cross multiply
    15,175.35x = 22,759.38 × 7,776
  4. Step 4: Simplify right side
    15,175.35x = 176,976,938.88
  5. Step 5: Solve for x
    x = 176,976,938.88/15,175.35
  6. Step 6: Final answer
    x = 11,662.13

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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.