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Finding the Fourth Proportional to 15,642.90, 23,471.73 and 7,857.18

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Solution

The fourth proportional to 15,642.90, 23,471.73 and 7,857.18 is: 11,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.90 : 23,471.73 = 7,857.18 : x
  2. Step 2: Convert to fraction form
    15,642.90/23,471.73 = 7,857.18/x
  3. Step 3: Cross multiply
    15,642.90x = 23,471.73 × 7,857.18
  4. Step 4: Simplify right side
    15,642.90x = 184,421,607.52
  5. Step 5: Solve for x
    x = 184,421,607.52/15,642.90
  6. Step 6: Final answer
    x = 11,789.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.