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Finding the Fourth Proportional to 14,957.40, 22,436.10 and 6,189.96

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Solution

The fourth proportional to 14,957.40, 22,436.10 and 6,189.96 is: 9,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,957.40 : 22,436.10 = 6,189.96 : x
  2. Step 2: Convert to fraction form
    14,957.40/22,436.10 = 6,189.96/x
  3. Step 3: Cross multiply
    14,957.40x = 22,436.10 × 6,189.96
  4. Step 4: Simplify right side
    14,957.40x = 138,878,561.56
  5. Step 5: Solve for x
    x = 138,878,561.56/14,957.40
  6. Step 6: Final answer
    x = 9,284.94

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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.