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Finding the Fourth Proportional to 26,384.98, 39,577.14 and 10,597

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Solution

The fourth proportional to 26,384.98, 39,577.14 and 10,597 is: 15,895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384.98 : 39,577.14 = 10,597 : x
  2. Step 2: Convert to fraction form
    26,384.98/39,577.14 = 10,597/x
  3. Step 3: Cross multiply
    26,384.98x = 39,577.14 × 10,597
  4. Step 4: Simplify right side
    26,384.98x = 419,398,952.58
  5. Step 5: Solve for x
    x = 419,398,952.58/26,384.98
  6. Step 6: Final answer
    x = 15,895.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.