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Finding the Fourth Proportional to 14,905.68, 22,363.98 and 6,141.34

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Solution

The fourth proportional to 14,905.68, 22,363.98 and 6,141.34 is: 9,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.68 : 22,363.98 = 6,141.34 : x
  2. Step 2: Convert to fraction form
    14,905.68/22,363.98 = 6,141.34/x
  3. Step 3: Cross multiply
    14,905.68x = 22,363.98 × 6,141.34
  4. Step 4: Simplify right side
    14,905.68x = 137,344,804.93
  5. Step 5: Solve for x
    x = 137,344,804.93/14,905.68
  6. Step 6: Final answer
    x = 9,214.26

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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.