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Finding the Fourth Proportional to 19,976, 27,565.94 and 11,472.13

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Solution

The fourth proportional to 19,976, 27,565.94 and 11,472.13 is: 15,831.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,976 : 27,565.94 = 11,472.13 : x
  2. Step 2: Convert to fraction form
    19,976/27,565.94 = 11,472.13/x
  3. Step 3: Cross multiply
    19,976x = 27,565.94 × 11,472.13
  4. Step 4: Simplify right side
    19,976x = 316,240,047.25
  5. Step 5: Solve for x
    x = 316,240,047.25/19,976
  6. Step 6: Final answer
    x = 15,831.00

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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.