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Finding the Fourth Proportional to 27,477.12, 41,184 and 14,325.12

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Solution

The fourth proportional to 27,477.12, 41,184 and 14,325.12 is: 21,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.12 : 41,184 = 14,325.12 : x
  2. Step 2: Convert to fraction form
    27,477.12/41,184 = 14,325.12/x
  3. Step 3: Cross multiply
    27,477.12x = 41,184 × 14,325.12
  4. Step 4: Simplify right side
    27,477.12x = 589,965,742.08
  5. Step 5: Solve for x
    x = 589,965,742.08/27,477.12
  6. Step 6: Final answer
    x = 21,471.16

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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.