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Finding the Fourth Proportional to 26,595.88, 36,702.57 and 14,659.68

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Solution

The fourth proportional to 26,595.88, 36,702.57 and 14,659.68 is: 20,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,595.88 : 36,702.57 = 14,659.68 : x
  2. Step 2: Convert to fraction form
    26,595.88/36,702.57 = 14,659.68/x
  3. Step 3: Cross multiply
    26,595.88x = 36,702.57 × 14,659.68
  4. Step 4: Simplify right side
    26,595.88x = 538,047,931.38
  5. Step 5: Solve for x
    x = 538,047,931.38/26,595.88
  6. Step 6: Final answer
    x = 20,230.50

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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.