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Finding the Fourth Proportional to 22,764.64, 31,412.66 and 13,814.32

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Solution

The fourth proportional to 22,764.64, 31,412.66 and 13,814.32 is: 19,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764.64 : 31,412.66 = 13,814.32 : x
  2. Step 2: Convert to fraction form
    22,764.64/31,412.66 = 13,814.32/x
  3. Step 3: Cross multiply
    22,764.64x = 31,412.66 × 13,814.32
  4. Step 4: Simplify right side
    22,764.64x = 433,944,537.29
  5. Step 5: Solve for x
    x = 433,944,537.29/22,764.64
  6. Step 6: Final answer
    x = 19,062.22

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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.