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Finding the Fourth Proportional to 15,412.53, 23,057.97 and 11,875.74

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Solution

The fourth proportional to 15,412.53, 23,057.97 and 11,875.74 is: 17,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412.53 : 23,057.97 = 11,875.74 : x
  2. Step 2: Convert to fraction form
    15,412.53/23,057.97 = 11,875.74/x
  3. Step 3: Cross multiply
    15,412.53x = 23,057.97 × 11,875.74
  4. Step 4: Simplify right side
    15,412.53x = 273,830,455.35
  5. Step 5: Solve for x
    x = 273,830,455.35/15,412.53
  6. Step 6: Final answer
    x = 17,766.74

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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.