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Finding the Fourth Proportional to 23,158.05, 31,958.07 and 12,547.68

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Solution

The fourth proportional to 23,158.05, 31,958.07 and 12,547.68 is: 17,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,158.05 : 31,958.07 = 12,547.68 : x
  2. Step 2: Convert to fraction form
    23,158.05/31,958.07 = 12,547.68/x
  3. Step 3: Cross multiply
    23,158.05x = 31,958.07 × 12,547.68
  4. Step 4: Simplify right side
    23,158.05x = 400,999,773.82
  5. Step 5: Solve for x
    x = 400,999,773.82/23,158.05
  6. Step 6: Final answer
    x = 17,315.78

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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.