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Finding the Fourth Proportional to 23,026.10, 31,774.22 and 12,952.54

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Solution

The fourth proportional to 23,026.10, 31,774.22 and 12,952.54 is: 17,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,026.10 : 31,774.22 = 12,952.54 : x
  2. Step 2: Convert to fraction form
    23,026.10/31,774.22 = 12,952.54/x
  3. Step 3: Cross multiply
    23,026.10x = 31,774.22 × 12,952.54
  4. Step 4: Simplify right side
    23,026.10x = 411,556,855.52
  5. Step 5: Solve for x
    x = 411,556,855.52/23,026.10
  6. Step 6: Final answer
    x = 17,873.49

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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.