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Finding the Fourth Proportional to 14,158.54, 19,548.92 and 9,919

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Solution

The fourth proportional to 14,158.54, 19,548.92 and 9,919 is: 13,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.54 : 19,548.92 = 9,919 : x
  2. Step 2: Convert to fraction form
    14,158.54/19,548.92 = 9,919/x
  3. Step 3: Cross multiply
    14,158.54x = 19,548.92 × 9,919
  4. Step 4: Simplify right side
    14,158.54x = 193,905,737.48
  5. Step 5: Solve for x
    x = 193,905,737.48/14,158.54
  6. Step 6: Final answer
    x = 13,695.32

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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.