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Finding the Fourth Proportional to 23,157.78, 31,957.76 and 12,547.41

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Solution

The fourth proportional to 23,157.78, 31,957.76 and 12,547.41 is: 17,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.78 : 31,957.76 = 12,547.41 : x
  2. Step 2: Convert to fraction form
    23,157.78/31,957.76 = 12,547.41/x
  3. Step 3: Cross multiply
    23,157.78x = 31,957.76 × 12,547.41
  4. Step 4: Simplify right side
    23,157.78x = 400,987,028.93
  5. Step 5: Solve for x
    x = 400,987,028.93/23,157.78
  6. Step 6: Final answer
    x = 17,315.44

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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.