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Finding the Fourth Proportional to 26,416.76, 36,456.35 and 14,481

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Solution

The fourth proportional to 26,416.76, 36,456.35 and 14,481 is: 19,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,416.76 : 36,456.35 = 14,481 : x
  2. Step 2: Convert to fraction form
    26,416.76/36,456.35 = 14,481/x
  3. Step 3: Cross multiply
    26,416.76x = 36,456.35 × 14,481
  4. Step 4: Simplify right side
    26,416.76x = 527,924,331.95
  5. Step 5: Solve for x
    x = 527,924,331.95/26,416.76
  6. Step 6: Final answer
    x = 19,984.45

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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.