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Finding the Fourth Proportional to 15,641.68, 23,470.12 and 6,875.46

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Solution

The fourth proportional to 15,641.68, 23,470.12 and 6,875.46 is: 10,316.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.68 : 23,470.12 = 6,875.46 : x
  2. Step 2: Convert to fraction form
    15,641.68/23,470.12 = 6,875.46/x
  3. Step 3: Cross multiply
    15,641.68x = 23,470.12 × 6,875.46
  4. Step 4: Simplify right side
    15,641.68x = 161,367,871.26
  5. Step 5: Solve for x
    x = 161,367,871.26/15,641.68
  6. Step 6: Final answer
    x = 10,316.53

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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.