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Finding the Fourth Proportional to 22,764.88, 31,413 and 13,814.56

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Solution

The fourth proportional to 22,764.88, 31,413 and 13,814.56 is: 19,062.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764.88 : 31,413 = 13,814.56 : x
  2. Step 2: Convert to fraction form
    22,764.88/31,413 = 13,814.56/x
  3. Step 3: Cross multiply
    22,764.88x = 31,413 × 13,814.56
  4. Step 4: Simplify right side
    22,764.88x = 433,956,773.28
  5. Step 5: Solve for x
    x = 433,956,773.28/22,764.88
  6. Step 6: Final answer
    x = 19,062.55

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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.