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Finding the Fourth Proportional to 12,788.84, 17,641.52 and 10,646.18

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Solution

The fourth proportional to 12,788.84, 17,641.52 and 10,646.18 is: 14,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.84 : 17,641.52 = 10,646.18 : x
  2. Step 2: Convert to fraction form
    12,788.84/17,641.52 = 10,646.18/x
  3. Step 3: Cross multiply
    12,788.84x = 17,641.52 × 10,646.18
  4. Step 4: Simplify right side
    12,788.84x = 187,814,868.11
  5. Step 5: Solve for x
    x = 187,814,868.11/12,788.84
  6. Step 6: Final answer
    x = 14,685.85

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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.