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Finding the Fourth Proportional to 26,594.76, 36,699.12 and 14,657.46

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Solution

The fourth proportional to 26,594.76, 36,699.12 and 14,657.46 is: 20,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,594.76 : 36,699.12 = 14,657.46 : x
  2. Step 2: Convert to fraction form
    26,594.76/36,699.12 = 14,657.46/x
  3. Step 3: Cross multiply
    26,594.76x = 36,699.12 × 14,657.46
  4. Step 4: Simplify right side
    26,594.76x = 537,915,883.44
  5. Step 5: Solve for x
    x = 537,915,883.44/26,594.76
  6. Step 6: Final answer
    x = 20,226.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.