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Finding the Fourth Proportional to 13,158.42, 19,737.63 and 6,577.98

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Solution

The fourth proportional to 13,158.42, 19,737.63 and 6,577.98 is: 9,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158.42 : 19,737.63 = 6,577.98 : x
  2. Step 2: Convert to fraction form
    13,158.42/19,737.63 = 6,577.98/x
  3. Step 3: Cross multiply
    13,158.42x = 19,737.63 × 6,577.98
  4. Step 4: Simplify right side
    13,158.42x = 129,833,735.39
  5. Step 5: Solve for x
    x = 129,833,735.39/13,158.42
  6. Step 6: Final answer
    x = 9,866.97

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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.