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Finding the Fourth Proportional to 19,948, 27,530.16 and 11,116

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Solution

The fourth proportional to 19,948, 27,530.16 and 11,116 is: 15,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,948 : 27,530.16 = 11,116 : x
  2. Step 2: Convert to fraction form
    19,948/27,530.16 = 11,116/x
  3. Step 3: Cross multiply
    19,948x = 27,530.16 × 11,116
  4. Step 4: Simplify right side
    19,948x = 306,025,258.56
  5. Step 5: Solve for x
    x = 306,025,258.56/19,948
  6. Step 6: Final answer
    x = 15,341.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.