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Finding the Fourth Proportional to 14,158.89, 19,528.97 and 9,677.97

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Solution

The fourth proportional to 14,158.89, 19,528.97 and 9,677.97 is: 13,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.89 : 19,528.97 = 9,677.97 : x
  2. Step 2: Convert to fraction form
    14,158.89/19,528.97 = 9,677.97/x
  3. Step 3: Cross multiply
    14,158.89x = 19,528.97 × 9,677.97
  4. Step 4: Simplify right side
    14,158.89x = 189,000,737.40
  5. Step 5: Solve for x
    x = 189,000,737.40/14,158.89
  6. Step 6: Final answer
    x = 13,348.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.