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Finding the Fourth Proportional to 22,831.88, 34,258.07 and 14,509.73

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Solution

The fourth proportional to 22,831.88, 34,258.07 and 14,509.73 is: 21,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.88 : 34,258.07 = 14,509.73 : x
  2. Step 2: Convert to fraction form
    22,831.88/34,258.07 = 14,509.73/x
  3. Step 3: Cross multiply
    22,831.88x = 34,258.07 × 14,509.73
  4. Step 4: Simplify right side
    22,831.88x = 497,075,467.94
  5. Step 5: Solve for x
    x = 497,075,467.94/22,831.88
  6. Step 6: Final answer
    x = 21,771.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.