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Finding the Fourth Proportional to 22,859.84, 31,537.32 and 14,899.28

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Solution

The fourth proportional to 22,859.84, 31,537.32 and 14,899.28 is: 20,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,859.84 : 31,537.32 = 14,899.28 : x
  2. Step 2: Convert to fraction form
    22,859.84/31,537.32 = 14,899.28/x
  3. Step 3: Cross multiply
    22,859.84x = 31,537.32 × 14,899.28
  4. Step 4: Simplify right side
    22,859.84x = 469,883,361.13
  5. Step 5: Solve for x
    x = 469,883,361.13/22,859.84
  6. Step 6: Final answer
    x = 20,554.97

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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.