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Finding the Fourth Proportional to 22,835.69, 31,511.03 and 14,335.10

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Solution

The fourth proportional to 22,835.69, 31,511.03 and 14,335.10 is: 19,781.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,835.69 : 31,511.03 = 14,335.10 : x
  2. Step 2: Convert to fraction form
    22,835.69/31,511.03 = 14,335.10/x
  3. Step 3: Cross multiply
    22,835.69x = 31,511.03 × 14,335.10
  4. Step 4: Simplify right side
    22,835.69x = 451,713,536.92
  5. Step 5: Solve for x
    x = 451,713,536.92/22,835.69
  6. Step 6: Final answer
    x = 19,781.03

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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.