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Finding the Fourth Proportional to 26,434, 36,475.56 and 14,494.20

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Solution

The fourth proportional to 26,434, 36,475.56 and 14,494.20 is: 20,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,434 : 36,475.56 = 14,494.20 : x
  2. Step 2: Convert to fraction form
    26,434/36,475.56 = 14,494.20/x
  3. Step 3: Cross multiply
    26,434x = 36,475.56 × 14,494.20
  4. Step 4: Simplify right side
    26,434x = 528,684,061.75
  5. Step 5: Solve for x
    x = 528,684,061.75/26,434
  6. Step 6: Final answer
    x = 20,000.15

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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.