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Finding the Fourth Proportional to 22,637.29, 33,935.14 and 7,835.85

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Solution

The fourth proportional to 22,637.29, 33,935.14 and 7,835.85 is: 11,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,637.29 : 33,935.14 = 7,835.85 : x
  2. Step 2: Convert to fraction form
    22,637.29/33,935.14 = 7,835.85/x
  3. Step 3: Cross multiply
    22,637.29x = 33,935.14 × 7,835.85
  4. Step 4: Simplify right side
    22,637.29x = 265,910,666.77
  5. Step 5: Solve for x
    x = 265,910,666.77/22,637.29
  6. Step 6: Final answer
    x = 11,746.58

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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.