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Finding the Fourth Proportional to 26,312.16, 36,311.49 and 15,707.95

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Solution

The fourth proportional to 26,312.16, 36,311.49 and 15,707.95 is: 21,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,312.16 : 36,311.49 = 15,707.95 : x
  2. Step 2: Convert to fraction form
    26,312.16/36,311.49 = 15,707.95/x
  3. Step 3: Cross multiply
    26,312.16x = 36,311.49 × 15,707.95
  4. Step 4: Simplify right side
    26,312.16x = 570,379,069.35
  5. Step 5: Solve for x
    x = 570,379,069.35/26,312.16
  6. Step 6: Final answer
    x = 21,677.39

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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.