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Finding the Fourth Proportional to 26,381.98, 39,572.64 and 10,594

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Solution

The fourth proportional to 26,381.98, 39,572.64 and 10,594 is: 15,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,381.98 : 39,572.64 = 10,594 : x
  2. Step 2: Convert to fraction form
    26,381.98/39,572.64 = 10,594/x
  3. Step 3: Cross multiply
    26,381.98x = 39,572.64 × 10,594
  4. Step 4: Simplify right side
    26,381.98x = 419,232,548.16
  5. Step 5: Solve for x
    x = 419,232,548.16/26,381.98
  6. Step 6: Final answer
    x = 15,890.87

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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.