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Finding the Fourth Proportional to 24,947, 34,427.34 and 13,768.76

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Solution

The fourth proportional to 24,947, 34,427.34 and 13,768.76 is: 19,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,947 : 34,427.34 = 13,768.76 : x
  2. Step 2: Convert to fraction form
    24,947/34,427.34 = 13,768.76/x
  3. Step 3: Cross multiply
    24,947x = 34,427.34 × 13,768.76
  4. Step 4: Simplify right side
    24,947x = 474,021,781.90
  5. Step 5: Solve for x
    x = 474,021,781.90/24,947
  6. Step 6: Final answer
    x = 19,001.15

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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.