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Finding the Fourth Proportional to 13,064.08, 19,557.24 and 7,854.16

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Solution

The fourth proportional to 13,064.08, 19,557.24 and 7,854.16 is: 11,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.08 : 19,557.24 = 7,854.16 : x
  2. Step 2: Convert to fraction form
    13,064.08/19,557.24 = 7,854.16/x
  3. Step 3: Cross multiply
    13,064.08x = 19,557.24 × 7,854.16
  4. Step 4: Simplify right side
    13,064.08x = 153,605,692.12
  5. Step 5: Solve for x
    x = 153,605,692.12/13,064.08
  6. Step 6: Final answer
    x = 11,757.87

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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.