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Finding the Fourth Proportional to 26,595.40, 36,701.78 and 14,658.20

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Solution

The fourth proportional to 26,595.40, 36,701.78 and 14,658.20 is: 20,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,595.40 : 36,701.78 = 14,658.20 : x
  2. Step 2: Convert to fraction form
    26,595.40/36,701.78 = 14,658.20/x
  3. Step 3: Cross multiply
    26,595.40x = 36,701.78 × 14,658.20
  4. Step 4: Simplify right side
    26,595.40x = 537,982,031.60
  5. Step 5: Solve for x
    x = 537,982,031.60/26,595.40
  6. Step 6: Final answer
    x = 20,228.39

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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.