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Finding the Fourth Proportional to 23,016.96, 31,762.05 and 12,807.72

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Solution

The fourth proportional to 23,016.96, 31,762.05 and 12,807.72 is: 17,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,016.96 : 31,762.05 = 12,807.72 : x
  2. Step 2: Convert to fraction form
    23,016.96/31,762.05 = 12,807.72/x
  3. Step 3: Cross multiply
    23,016.96x = 31,762.05 × 12,807.72
  4. Step 4: Simplify right side
    23,016.96x = 406,799,443.03
  5. Step 5: Solve for x
    x = 406,799,443.03/23,016.96
  6. Step 6: Final answer
    x = 17,673.90

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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.