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Finding the Fourth Proportional to 22,655.71, 33,970.12 and 6,855.94

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Solution

The fourth proportional to 22,655.71, 33,970.12 and 6,855.94 is: 10,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,655.71 : 33,970.12 = 6,855.94 : x
  2. Step 2: Convert to fraction form
    22,655.71/33,970.12 = 6,855.94/x
  3. Step 3: Cross multiply
    22,655.71x = 33,970.12 × 6,855.94
  4. Step 4: Simplify right side
    22,655.71x = 232,897,104.51
  5. Step 5: Solve for x
    x = 232,897,104.51/22,655.71
  6. Step 6: Final answer
    x = 10,279.84

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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.