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Finding the Fourth Proportional to 19,613, 27,066.54 and 11,114.91

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Solution

The fourth proportional to 19,613, 27,066.54 and 11,114.91 is: 15,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,613 : 27,066.54 = 11,114.91 : x
  2. Step 2: Convert to fraction form
    19,613/27,066.54 = 11,114.91/x
  3. Step 3: Cross multiply
    19,613x = 27,066.54 × 11,114.91
  4. Step 4: Simplify right side
    19,613x = 300,842,156.11
  5. Step 5: Solve for x
    x = 300,842,156.11/19,613
  6. Step 6: Final answer
    x = 15,338.92

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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.