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Finding the Fourth Proportional to 23,416.32, 35,130.02 and 6,776.74

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Solution

The fourth proportional to 23,416.32, 35,130.02 and 6,776.74 is: 10,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416.32 : 35,130.02 = 6,776.74 : x
  2. Step 2: Convert to fraction form
    23,416.32/35,130.02 = 6,776.74/x
  3. Step 3: Cross multiply
    23,416.32x = 35,130.02 × 6,776.74
  4. Step 4: Simplify right side
    23,416.32x = 238,067,011.73
  5. Step 5: Solve for x
    x = 238,067,011.73/23,416.32
  6. Step 6: Final answer
    x = 10,166.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.