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Finding the Fourth Proportional to 24,495.52, 36,746.16 and 7,856.32

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Solution

The fourth proportional to 24,495.52, 36,746.16 and 7,856.32 is: 11,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495.52 : 36,746.16 = 7,856.32 : x
  2. Step 2: Convert to fraction form
    24,495.52/36,746.16 = 7,856.32/x
  3. Step 3: Cross multiply
    24,495.52x = 36,746.16 × 7,856.32
  4. Step 4: Simplify right side
    24,495.52x = 288,689,591.73
  5. Step 5: Solve for x
    x = 288,689,591.73/24,495.52
  6. Step 6: Final answer
    x = 11,785.40

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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.