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Finding the Fourth Proportional to 13,074.16, 19,658.64 and 12,046.87

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Solution

The fourth proportional to 13,074.16, 19,658.64 and 12,046.87 is: 18,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.16 : 19,658.64 = 12,046.87 : x
  2. Step 2: Convert to fraction form
    13,074.16/19,658.64 = 12,046.87/x
  3. Step 3: Cross multiply
    13,074.16x = 19,658.64 × 12,046.87
  4. Step 4: Simplify right side
    13,074.16x = 236,825,080.46
  5. Step 5: Solve for x
    x = 236,825,080.46/13,074.16
  6. Step 6: Final answer
    x = 18,113.98

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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.