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Finding the Fourth Proportional to 26,176, 36,122.88 and 14,400

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Solution

The fourth proportional to 26,176, 36,122.88 and 14,400 is: 19,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,176 : 36,122.88 = 14,400 : x
  2. Step 2: Convert to fraction form
    26,176/36,122.88 = 14,400/x
  3. Step 3: Cross multiply
    26,176x = 36,122.88 × 14,400
  4. Step 4: Simplify right side
    26,176x = 520,169,472.00
  5. Step 5: Solve for x
    x = 520,169,472.00/26,176
  6. Step 6: Final answer
    x = 19,872.00

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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.