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Finding the Fourth Proportional to 22,617.84, 31,226.78 and 14,565.51

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Solution

The fourth proportional to 22,617.84, 31,226.78 and 14,565.51 is: 20,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.84 : 31,226.78 = 14,565.51 : x
  2. Step 2: Convert to fraction form
    22,617.84/31,226.78 = 14,565.51/x
  3. Step 3: Cross multiply
    22,617.84x = 31,226.78 × 14,565.51
  4. Step 4: Simplify right side
    22,617.84x = 454,833,976.36
  5. Step 5: Solve for x
    x = 454,833,976.36/22,617.84
  6. Step 6: Final answer
    x = 20,109.52

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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.