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Finding the Fourth Proportional to 23,158.22, 31,958.49 and 12,547.94

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Solution

The fourth proportional to 23,158.22, 31,958.49 and 12,547.94 is: 17,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,158.22 : 31,958.49 = 12,547.94 : x
  2. Step 2: Convert to fraction form
    23,158.22/31,958.49 = 12,547.94/x
  3. Step 3: Cross multiply
    23,158.22x = 31,958.49 × 12,547.94
  4. Step 4: Simplify right side
    23,158.22x = 401,013,055.22
  5. Step 5: Solve for x
    x = 401,013,055.22/23,158.22
  6. Step 6: Final answer
    x = 17,316.23

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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.