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Finding the Fourth Proportional to 26,594.25, 36,700.24 and 14,657.59

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Solution

The fourth proportional to 26,594.25, 36,700.24 and 14,657.59 is: 20,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,594.25 : 36,700.24 = 14,657.59 : x
  2. Step 2: Convert to fraction form
    26,594.25/36,700.24 = 14,657.59/x
  3. Step 3: Cross multiply
    26,594.25x = 36,700.24 × 14,657.59
  4. Step 4: Simplify right side
    26,594.25x = 537,937,116.70
  5. Step 5: Solve for x
    x = 537,937,116.70/26,594.25
  6. Step 6: Final answer
    x = 20,227.57

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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.