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Finding the Fourth Proportional to 23,856.04, 35,762.16 and 8,262.74

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Solution

The fourth proportional to 23,856.04, 35,762.16 and 8,262.74 is: 12,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.04 : 35,762.16 = 8,262.74 : x
  2. Step 2: Convert to fraction form
    23,856.04/35,762.16 = 8,262.74/x
  3. Step 3: Cross multiply
    23,856.04x = 35,762.16 × 8,262.74
  4. Step 4: Simplify right side
    23,856.04x = 295,493,429.92
  5. Step 5: Solve for x
    x = 295,493,429.92/23,856.04
  6. Step 6: Final answer
    x = 12,386.52

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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.