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Finding the Fourth Proportional to 26,152.74, 36,091.15 and 14,216.07

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Solution

The fourth proportional to 26,152.74, 36,091.15 and 14,216.07 is: 19,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,152.74 : 36,091.15 = 14,216.07 : x
  2. Step 2: Convert to fraction form
    26,152.74/36,091.15 = 14,216.07/x
  3. Step 3: Cross multiply
    26,152.74x = 36,091.15 × 14,216.07
  4. Step 4: Simplify right side
    26,152.74x = 513,074,494.55
  5. Step 5: Solve for x
    x = 513,074,494.55/26,152.74
  6. Step 6: Final answer
    x = 19,618.38

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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.