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Finding the Fourth Proportional to 15,823.92, 23,744.01 and 7,064.58

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Solution

The fourth proportional to 15,823.92, 23,744.01 and 7,064.58 is: 10,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.92 : 23,744.01 = 7,064.58 : x
  2. Step 2: Convert to fraction form
    15,823.92/23,744.01 = 7,064.58/x
  3. Step 3: Cross multiply
    15,823.92x = 23,744.01 × 7,064.58
  4. Step 4: Simplify right side
    15,823.92x = 167,741,458.17
  5. Step 5: Solve for x
    x = 167,741,458.17/15,823.92
  6. Step 6: Final answer
    x = 10,600.50

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1.5x scale

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.