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Finding the Fourth Proportional to 19,613.84, 29,420.50 and 4,822.88

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Solution

The fourth proportional to 19,613.84, 29,420.50 and 4,822.88 is: 7,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,613.84 : 29,420.50 = 4,822.88 : x
  2. Step 2: Convert to fraction form
    19,613.84/29,420.50 = 4,822.88/x
  3. Step 3: Cross multiply
    19,613.84x = 29,420.50 × 4,822.88
  4. Step 4: Simplify right side
    19,613.84x = 141,891,541.04
  5. Step 5: Solve for x
    x = 141,891,541.04/19,613.84
  6. Step 6: Final answer
    x = 7,234.26

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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.