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Finding the Fourth Proportional to 22,646.78, 33,970.17 and 7,065.62

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Solution

The fourth proportional to 22,646.78, 33,970.17 and 7,065.62 is: 10,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.78 : 33,970.17 = 7,065.62 : x
  2. Step 2: Convert to fraction form
    22,646.78/33,970.17 = 7,065.62/x
  3. Step 3: Cross multiply
    22,646.78x = 33,970.17 × 7,065.62
  4. Step 4: Simplify right side
    22,646.78x = 240,020,312.56
  5. Step 5: Solve for x
    x = 240,020,312.56/22,646.78
  6. Step 6: Final answer
    x = 10,598.43

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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.