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Finding the Fourth Proportional to 23,783.80, 35,685.65 and 10,449.91

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Solution

The fourth proportional to 23,783.80, 35,685.65 and 10,449.91 is: 15,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.80 : 35,685.65 = 10,449.91 : x
  2. Step 2: Convert to fraction form
    23,783.80/35,685.65 = 10,449.91/x
  3. Step 3: Cross multiply
    23,783.80x = 35,685.65 × 10,449.91
  4. Step 4: Simplify right side
    23,783.80x = 372,911,830.79
  5. Step 5: Solve for x
    x = 372,911,830.79/23,783.80
  6. Step 6: Final answer
    x = 15,679.24

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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.