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Finding the Fourth Proportional to 35,223.36, 52,819.68 and 13,320

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Solution

The fourth proportional to 35,223.36, 52,819.68 and 13,320 is: 19,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,223.36 : 52,819.68 = 13,320 : x
  2. Step 2: Convert to fraction form
    35,223.36/52,819.68 = 13,320/x
  3. Step 3: Cross multiply
    35,223.36x = 52,819.68 × 13,320
  4. Step 4: Simplify right side
    35,223.36x = 703,558,137.60
  5. Step 5: Solve for x
    x = 703,558,137.60/35,223.36
  6. Step 6: Final answer
    x = 19,974.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.