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Finding the Fourth Proportional to 26,407.69, 36,442.64 and 14,471.46

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Solution

The fourth proportional to 26,407.69, 36,442.64 and 14,471.46 is: 19,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,407.69 : 36,442.64 = 14,471.46 : x
  2. Step 2: Convert to fraction form
    26,407.69/36,442.64 = 14,471.46/x
  3. Step 3: Cross multiply
    26,407.69x = 36,442.64 × 14,471.46
  4. Step 4: Simplify right side
    26,407.69x = 527,378,243.23
  5. Step 5: Solve for x
    x = 527,378,243.23/26,407.69
  6. Step 6: Final answer
    x = 19,970.63

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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.