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Finding the Fourth Proportional to 26,472.90, 36,533.18 and 14,537

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Solution

The fourth proportional to 26,472.90, 36,533.18 and 14,537 is: 20,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,472.90 : 36,533.18 = 14,537 : x
  2. Step 2: Convert to fraction form
    26,472.90/36,533.18 = 14,537/x
  3. Step 3: Cross multiply
    26,472.90x = 36,533.18 × 14,537
  4. Step 4: Simplify right side
    26,472.90x = 531,082,837.66
  5. Step 5: Solve for x
    x = 531,082,837.66/26,472.90
  6. Step 6: Final answer
    x = 20,061.38

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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.