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Finding the Fourth Proportional to 15,876.42, 21,905 and 12,508.78

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Solution

The fourth proportional to 15,876.42, 21,905 and 12,508.78 is: 17,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.42 : 21,905 = 12,508.78 : x
  2. Step 2: Convert to fraction form
    15,876.42/21,905 = 12,508.78/x
  3. Step 3: Cross multiply
    15,876.42x = 21,905 × 12,508.78
  4. Step 4: Simplify right side
    15,876.42x = 274,004,825.90
  5. Step 5: Solve for x
    x = 274,004,825.90/15,876.42
  6. Step 6: Final answer
    x = 17,258.60

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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.