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Finding the Fourth Proportional to 16,870.95, 23,279.04 and 10,826.55

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Solution

The fourth proportional to 16,870.95, 23,279.04 and 10,826.55 is: 14,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870.95 : 23,279.04 = 10,826.55 : x
  2. Step 2: Convert to fraction form
    16,870.95/23,279.04 = 10,826.55/x
  3. Step 3: Cross multiply
    16,870.95x = 23,279.04 × 10,826.55
  4. Step 4: Simplify right side
    16,870.95x = 252,031,690.51
  5. Step 5: Solve for x
    x = 252,031,690.51/16,870.95
  6. Step 6: Final answer
    x = 14,938.80

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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.