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Finding the Fourth Proportional to 22,608, 31,199.04 and 13,776

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Solution

The fourth proportional to 22,608, 31,199.04 and 13,776 is: 19,010.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,608 : 31,199.04 = 13,776 : x
  2. Step 2: Convert to fraction form
    22,608/31,199.04 = 13,776/x
  3. Step 3: Cross multiply
    22,608x = 31,199.04 × 13,776
  4. Step 4: Simplify right side
    22,608x = 429,797,975.04
  5. Step 5: Solve for x
    x = 429,797,975.04/22,608
  6. Step 6: Final answer
    x = 19,010.88

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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.