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Finding the Fourth Proportional to 12,894.61, 19,339.84 and 3,532.44

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Solution

The fourth proportional to 12,894.61, 19,339.84 and 3,532.44 is: 5,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.61 : 19,339.84 = 3,532.44 : x
  2. Step 2: Convert to fraction form
    12,894.61/19,339.84 = 3,532.44/x
  3. Step 3: Cross multiply
    12,894.61x = 19,339.84 × 3,532.44
  4. Step 4: Simplify right side
    12,894.61x = 68,316,881.59
  5. Step 5: Solve for x
    x = 68,316,881.59/12,894.61
  6. Step 6: Final answer
    x = 5,298.09

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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.