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Finding the Fourth Proportional to 19,612.84, 29,419 and 4,821.88

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Solution

The fourth proportional to 19,612.84, 29,419 and 4,821.88 is: 7,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,612.84 : 29,419 = 4,821.88 : x
  2. Step 2: Convert to fraction form
    19,612.84/29,419 = 4,821.88/x
  3. Step 3: Cross multiply
    19,612.84x = 29,419 × 4,821.88
  4. Step 4: Simplify right side
    19,612.84x = 141,854,887.72
  5. Step 5: Solve for x
    x = 141,854,887.72/19,612.84
  6. Step 6: Final answer
    x = 7,232.76

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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.