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Finding the Fourth Proportional to 27,767.85, 38,320.65 and 15,831.06

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Solution

The fourth proportional to 27,767.85, 38,320.65 and 15,831.06 is: 21,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.85 : 38,320.65 = 15,831.06 : x
  2. Step 2: Convert to fraction form
    27,767.85/38,320.65 = 15,831.06/x
  3. Step 3: Cross multiply
    27,767.85x = 38,320.65 × 15,831.06
  4. Step 4: Simplify right side
    27,767.85x = 606,656,509.39
  5. Step 5: Solve for x
    x = 606,656,509.39/27,767.85
  6. Step 6: Final answer
    x = 21,847.44

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