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Finding the Fourth Proportional to 26,462.43, 36,518.04 and 14,526

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Solution

The fourth proportional to 26,462.43, 36,518.04 and 14,526 is: 20,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,462.43 : 36,518.04 = 14,526 : x
  2. Step 2: Convert to fraction form
    26,462.43/36,518.04 = 14,526/x
  3. Step 3: Cross multiply
    26,462.43x = 36,518.04 × 14,526
  4. Step 4: Simplify right side
    26,462.43x = 530,461,049.04
  5. Step 5: Solve for x
    x = 530,461,049.04/26,462.43
  6. Step 6: Final answer
    x = 20,045.82

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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.