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Finding the Fourth Proportional to 12,037.14, 16,613.40 and 7,257.93

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Solution

The fourth proportional to 12,037.14, 16,613.40 and 7,257.93 is: 10,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,037.14 : 16,613.40 = 7,257.93 : x
  2. Step 2: Convert to fraction form
    12,037.14/16,613.40 = 7,257.93/x
  3. Step 3: Cross multiply
    12,037.14x = 16,613.40 × 7,257.93
  4. Step 4: Simplify right side
    12,037.14x = 120,578,894.26
  5. Step 5: Solve for x
    x = 120,578,894.26/12,037.14
  6. Step 6: Final answer
    x = 10,017.24

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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.