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Finding the Fourth Proportional to 19,586.80, 29,399.40 and 9,737.20

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Solution

The fourth proportional to 19,586.80, 29,399.40 and 9,737.20 is: 14,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.80 : 29,399.40 = 9,737.20 : x
  2. Step 2: Convert to fraction form
    19,586.80/29,399.40 = 9,737.20/x
  3. Step 3: Cross multiply
    19,586.80x = 29,399.40 × 9,737.20
  4. Step 4: Simplify right side
    19,586.80x = 286,267,837.68
  5. Step 5: Solve for x
    x = 286,267,837.68/19,586.80
  6. Step 6: Final answer
    x = 14,615.34

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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.