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Finding the Fourth Proportional to 26,398.30, 36,429.70 and 14,461.38

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Solution

The fourth proportional to 26,398.30, 36,429.70 and 14,461.38 is: 19,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,398.30 : 36,429.70 = 14,461.38 : x
  2. Step 2: Convert to fraction form
    26,398.30/36,429.70 = 14,461.38/x
  3. Step 3: Cross multiply
    26,398.30x = 36,429.70 × 14,461.38
  4. Step 4: Simplify right side
    26,398.30x = 526,823,480.53
  5. Step 5: Solve for x
    x = 526,823,480.53/26,398.30
  6. Step 6: Final answer
    x = 19,956.72

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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.