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Finding the Fourth Proportional to 15,381.90, 23,072.85 and 14,166.90

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Solution

The fourth proportional to 15,381.90, 23,072.85 and 14,166.90 is: 21,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,381.90 : 23,072.85 = 14,166.90 : x
  2. Step 2: Convert to fraction form
    15,381.90/23,072.85 = 14,166.90/x
  3. Step 3: Cross multiply
    15,381.90x = 23,072.85 × 14,166.90
  4. Step 4: Simplify right side
    15,381.90x = 326,870,758.67
  5. Step 5: Solve for x
    x = 326,870,758.67/15,381.90
  6. Step 6: Final answer
    x = 21,250.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.