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Finding the Fourth Proportional to 23,709.60, 35,565.12 and 8,127

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Solution

The fourth proportional to 23,709.60, 35,565.12 and 8,127 is: 12,190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.60 : 35,565.12 = 8,127 : x
  2. Step 2: Convert to fraction form
    23,709.60/35,565.12 = 8,127/x
  3. Step 3: Cross multiply
    23,709.60x = 35,565.12 × 8,127
  4. Step 4: Simplify right side
    23,709.60x = 289,037,730.24
  5. Step 5: Solve for x
    x = 289,037,730.24/23,709.60
  6. Step 6: Final answer
    x = 12,190.75

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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.