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Finding the Fourth Proportional to 30,252.84, 41,746.50 and 16,824.12

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Solution

The fourth proportional to 30,252.84, 41,746.50 and 16,824.12 is: 23,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,252.84 : 41,746.50 = 16,824.12 : x
  2. Step 2: Convert to fraction form
    30,252.84/41,746.50 = 16,824.12/x
  3. Step 3: Cross multiply
    30,252.84x = 41,746.50 × 16,824.12
  4. Step 4: Simplify right side
    30,252.84x = 702,348,125.58
  5. Step 5: Solve for x
    x = 702,348,125.58/30,252.84
  6. Step 6: Final answer
    x = 23,215.94

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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.