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Finding the Fourth Proportional to 19,670.52, 27,127.08 and 14,647.08

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Solution

The fourth proportional to 19,670.52, 27,127.08 and 14,647.08 is: 20,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.52 : 27,127.08 = 14,647.08 : x
  2. Step 2: Convert to fraction form
    19,670.52/27,127.08 = 14,647.08/x
  3. Step 3: Cross multiply
    19,670.52x = 27,127.08 × 14,647.08
  4. Step 4: Simplify right side
    19,670.52x = 397,332,510.93
  5. Step 5: Solve for x
    x = 397,332,510.93/19,670.52
  6. Step 6: Final answer
    x = 20,199.39

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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.