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Finding the Fourth Proportional to 15,689.68, 23,518.72 and 6,923.04

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Solution

The fourth proportional to 15,689.68, 23,518.72 and 6,923.04 is: 10,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.68 : 23,518.72 = 6,923.04 : x
  2. Step 2: Convert to fraction form
    15,689.68/23,518.72 = 6,923.04/x
  3. Step 3: Cross multiply
    15,689.68x = 23,518.72 × 6,923.04
  4. Step 4: Simplify right side
    15,689.68x = 162,821,039.31
  5. Step 5: Solve for x
    x = 162,821,039.31/15,689.68
  6. Step 6: Final answer
    x = 10,377.59

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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.