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Finding the Fourth Proportional to 11,598.24, 15,993.48 and 9,925.16

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Solution

The fourth proportional to 11,598.24, 15,993.48 and 9,925.16 is: 13,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.24 : 15,993.48 = 9,925.16 : x
  2. Step 2: Convert to fraction form
    11,598.24/15,993.48 = 9,925.16/x
  3. Step 3: Cross multiply
    11,598.24x = 15,993.48 × 9,925.16
  4. Step 4: Simplify right side
    11,598.24x = 158,737,847.96
  5. Step 5: Solve for x
    x = 158,737,847.96/11,598.24
  6. Step 6: Final answer
    x = 13,686.37

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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.