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Finding the Fourth Proportional to 19,776, 27,290.88 and 10,944

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Solution

The fourth proportional to 19,776, 27,290.88 and 10,944 is: 15,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776 : 27,290.88 = 10,944 : x
  2. Step 2: Convert to fraction form
    19,776/27,290.88 = 10,944/x
  3. Step 3: Cross multiply
    19,776x = 27,290.88 × 10,944
  4. Step 4: Simplify right side
    19,776x = 298,671,390.72
  5. Step 5: Solve for x
    x = 298,671,390.72/19,776
  6. Step 6: Final answer
    x = 15,102.72

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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.