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Finding the Fourth Proportional to 22,958.93, 31,683.79 and 12,888.10

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Solution

The fourth proportional to 22,958.93, 31,683.79 and 12,888.10 is: 17,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958.93 : 31,683.79 = 12,888.10 : x
  2. Step 2: Convert to fraction form
    22,958.93/31,683.79 = 12,888.10/x
  3. Step 3: Cross multiply
    22,958.93x = 31,683.79 × 12,888.10
  4. Step 4: Simplify right side
    22,958.93x = 408,343,631.04
  5. Step 5: Solve for x
    x = 408,343,631.04/22,958.93
  6. Step 6: Final answer
    x = 17,785.83

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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.