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Finding the Fourth Proportional to 22,662.40, 31,278.59 and 14,480.77

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Solution

The fourth proportional to 22,662.40, 31,278.59 and 14,480.77 is: 19,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.40 : 31,278.59 = 14,480.77 : x
  2. Step 2: Convert to fraction form
    22,662.40/31,278.59 = 14,480.77/x
  3. Step 3: Cross multiply
    22,662.40x = 31,278.59 × 14,480.77
  4. Step 4: Simplify right side
    22,662.40x = 452,937,995.31
  5. Step 5: Solve for x
    x = 452,937,995.31/22,662.40
  6. Step 6: Final answer
    x = 19,986.32

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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.