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Finding the Fourth Proportional to 26,952, 40,436.16 and 13,813.68

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Solution

The fourth proportional to 26,952, 40,436.16 and 13,813.68 is: 20,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,952 : 40,436.16 = 13,813.68 : x
  2. Step 2: Convert to fraction form
    26,952/40,436.16 = 13,813.68/x
  3. Step 3: Cross multiply
    26,952x = 40,436.16 × 13,813.68
  4. Step 4: Simplify right side
    26,952x = 558,572,174.67
  5. Step 5: Solve for x
    x = 558,572,174.67/26,952
  6. Step 6: Final answer
    x = 20,724.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.