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Finding the Fourth Proportional to 23,875.42, 35,810.31 and 6,346.60

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Solution

The fourth proportional to 23,875.42, 35,810.31 and 6,346.60 is: 9,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.42 : 35,810.31 = 6,346.60 : x
  2. Step 2: Convert to fraction form
    23,875.42/35,810.31 = 6,346.60/x
  3. Step 3: Cross multiply
    23,875.42x = 35,810.31 × 6,346.60
  4. Step 4: Simplify right side
    23,875.42x = 227,273,713.45
  5. Step 5: Solve for x
    x = 227,273,713.45/23,875.42
  6. Step 6: Final answer
    x = 9,519.15

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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.