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Finding the Fourth Proportional to 26,405.80, 36,438.56 and 14,468.93

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Solution

The fourth proportional to 26,405.80, 36,438.56 and 14,468.93 is: 19,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,405.80 : 36,438.56 = 14,468.93 : x
  2. Step 2: Convert to fraction form
    26,405.80/36,438.56 = 14,468.93/x
  3. Step 3: Cross multiply
    26,405.80x = 36,438.56 × 14,468.93
  4. Step 4: Simplify right side
    26,405.80x = 527,226,910.31
  5. Step 5: Solve for x
    x = 527,226,910.31/26,405.80
  6. Step 6: Final answer
    x = 19,966.33

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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.