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Finding the Fourth Proportional to 23,811.60, 32,822.06 and 18,768

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Solution

The fourth proportional to 23,811.60, 32,822.06 and 18,768 is: 25,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.60 : 32,822.06 = 18,768 : x
  2. Step 2: Convert to fraction form
    23,811.60/32,822.06 = 18,768/x
  3. Step 3: Cross multiply
    23,811.60x = 32,822.06 × 18,768
  4. Step 4: Simplify right side
    23,811.60x = 616,004,422.08
  5. Step 5: Solve for x
    x = 616,004,422.08/23,811.60
  6. Step 6: Final answer
    x = 25,869.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.