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Finding the Fourth Proportional to 12,689.19, 19,037.68 and 5,675.10

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Solution

The fourth proportional to 12,689.19, 19,037.68 and 5,675.10 is: 8,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.19 : 19,037.68 = 5,675.10 : x
  2. Step 2: Convert to fraction form
    12,689.19/19,037.68 = 5,675.10/x
  3. Step 3: Cross multiply
    12,689.19x = 19,037.68 × 5,675.10
  4. Step 4: Simplify right side
    12,689.19x = 108,040,830.42
  5. Step 5: Solve for x
    x = 108,040,830.42/12,689.19
  6. Step 6: Final answer
    x = 8,514.40

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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.