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Finding the Fourth Proportional to 13,078.35, 19,588.82 and 12,054.10

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Solution

The fourth proportional to 13,078.35, 19,588.82 and 12,054.10 is: 18,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.35 : 19,588.82 = 12,054.10 : x
  2. Step 2: Convert to fraction form
    13,078.35/19,588.82 = 12,054.10/x
  3. Step 3: Cross multiply
    13,078.35x = 19,588.82 × 12,054.10
  4. Step 4: Simplify right side
    13,078.35x = 236,125,595.16
  5. Step 5: Solve for x
    x = 236,125,595.16/13,078.35
  6. Step 6: Final answer
    x = 18,054.69

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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.