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Finding the Fourth Proportional to 15,751.70, 23,623.45 and 7,429.52

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Solution

The fourth proportional to 15,751.70, 23,623.45 and 7,429.52 is: 11,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,751.70 : 23,623.45 = 7,429.52 : x
  2. Step 2: Convert to fraction form
    15,751.70/23,623.45 = 7,429.52/x
  3. Step 3: Cross multiply
    15,751.70x = 23,623.45 × 7,429.52
  4. Step 4: Simplify right side
    15,751.70x = 175,510,934.73
  5. Step 5: Solve for x
    x = 175,510,934.73/15,751.70
  6. Step 6: Final answer
    x = 11,142.35

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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.