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Finding the Fourth Proportional to 26,588.72, 36,693.24 and 16,382

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Solution

The fourth proportional to 26,588.72, 36,693.24 and 16,382 is: 22,607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,588.72 : 36,693.24 = 16,382 : x
  2. Step 2: Convert to fraction form
    26,588.72/36,693.24 = 16,382/x
  3. Step 3: Cross multiply
    26,588.72x = 36,693.24 × 16,382
  4. Step 4: Simplify right side
    26,588.72x = 601,108,657.68
  5. Step 5: Solve for x
    x = 601,108,657.68/26,588.72
  6. Step 6: Final answer
    x = 22,607.66

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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.