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Finding the Fourth Proportional to 22,583.84, 33,875.45 and 7,001.46

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Solution

The fourth proportional to 22,583.84, 33,875.45 and 7,001.46 is: 10,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583.84 : 33,875.45 = 7,001.46 : x
  2. Step 2: Convert to fraction form
    22,583.84/33,875.45 = 7,001.46/x
  3. Step 3: Cross multiply
    22,583.84x = 33,875.45 × 7,001.46
  4. Step 4: Simplify right side
    22,583.84x = 237,177,573.15
  5. Step 5: Solve for x
    x = 237,177,573.15/22,583.84
  6. Step 6: Final answer
    x = 10,502.09

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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.