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Finding the Fourth Proportional to 12,878.21, 19,292.24 and 9,494.84

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Solution

The fourth proportional to 12,878.21, 19,292.24 and 9,494.84 is: 14,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.21 : 19,292.24 = 9,494.84 : x
  2. Step 2: Convert to fraction form
    12,878.21/19,292.24 = 9,494.84/x
  3. Step 3: Cross multiply
    12,878.21x = 19,292.24 × 9,494.84
  4. Step 4: Simplify right side
    12,878.21x = 183,176,635.58
  5. Step 5: Solve for x
    x = 183,176,635.58/12,878.21
  6. Step 6: Final answer
    x = 14,223.77

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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.