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Finding the Fourth Proportional to 24,822.84, 34,258.22 and 14,215.96

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Solution

The fourth proportional to 24,822.84, 34,258.22 and 14,215.96 is: 19,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.84 : 34,258.22 = 14,215.96 : x
  2. Step 2: Convert to fraction form
    24,822.84/34,258.22 = 14,215.96/x
  3. Step 3: Cross multiply
    24,822.84x = 34,258.22 × 14,215.96
  4. Step 4: Simplify right side
    24,822.84x = 487,013,485.19
  5. Step 5: Solve for x
    x = 487,013,485.19/24,822.84
  6. Step 6: Final answer
    x = 19,619.57

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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.