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Finding the Fourth Proportional to 27,178.08, 40,771.44 and 13,328.16

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Solution

The fourth proportional to 27,178.08, 40,771.44 and 13,328.16 is: 19,994.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.08 : 40,771.44 = 13,328.16 : x
  2. Step 2: Convert to fraction form
    27,178.08/40,771.44 = 13,328.16/x
  3. Step 3: Cross multiply
    27,178.08x = 40,771.44 × 13,328.16
  4. Step 4: Simplify right side
    27,178.08x = 543,408,275.75
  5. Step 5: Solve for x
    x = 543,408,275.75/27,178.08
  6. Step 6: Final answer
    x = 19,994.36

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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.