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Finding the Fourth Proportional to 22,781.22, 31,438.04 and 12,709.06

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Solution

The fourth proportional to 22,781.22, 31,438.04 and 12,709.06 is: 17,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781.22 : 31,438.04 = 12,709.06 : x
  2. Step 2: Convert to fraction form
    22,781.22/31,438.04 = 12,709.06/x
  3. Step 3: Cross multiply
    22,781.22x = 31,438.04 × 12,709.06
  4. Step 4: Simplify right side
    22,781.22x = 399,547,974.16
  5. Step 5: Solve for x
    x = 399,547,974.16/22,781.22
  6. Step 6: Final answer
    x = 17,538.48

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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.