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Finding the Fourth Proportional to 13,078.16, 19,494.04 and 12,028.40

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Solution

The fourth proportional to 13,078.16, 19,494.04 and 12,028.40 is: 17,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.16 : 19,494.04 = 12,028.40 : x
  2. Step 2: Convert to fraction form
    13,078.16/19,494.04 = 12,028.40/x
  3. Step 3: Cross multiply
    13,078.16x = 19,494.04 × 12,028.40
  4. Step 4: Simplify right side
    13,078.16x = 234,482,110.74
  5. Step 5: Solve for x
    x = 234,482,110.74/13,078.16
  6. Step 6: Final answer
    x = 17,929.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.