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Finding the Fourth Proportional to 26,248, 36,222.24 and 14,472

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Solution

The fourth proportional to 26,248, 36,222.24 and 14,472 is: 19,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,248 : 36,222.24 = 14,472 : x
  2. Step 2: Convert to fraction form
    26,248/36,222.24 = 14,472/x
  3. Step 3: Cross multiply
    26,248x = 36,222.24 × 14,472
  4. Step 4: Simplify right side
    26,248x = 524,208,257.28
  5. Step 5: Solve for x
    x = 524,208,257.28/26,248
  6. Step 6: Final answer
    x = 19,971.36

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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.