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Finding the Fourth Proportional to 26,382, 36,407.16 and 14,606

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Solution

The fourth proportional to 26,382, 36,407.16 and 14,606 is: 20,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,382 : 36,407.16 = 14,606 : x
  2. Step 2: Convert to fraction form
    26,382/36,407.16 = 14,606/x
  3. Step 3: Cross multiply
    26,382x = 36,407.16 × 14,606
  4. Step 4: Simplify right side
    26,382x = 531,762,978.96
  5. Step 5: Solve for x
    x = 531,762,978.96/26,382
  6. Step 6: Final answer
    x = 20,156.28

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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.