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Finding the Fourth Proportional to 19,703.84, 29,556.27 and 5,663.30

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Solution

The fourth proportional to 19,703.84, 29,556.27 and 5,663.30 is: 8,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703.84 : 29,556.27 = 5,663.30 : x
  2. Step 2: Convert to fraction form
    19,703.84/29,556.27 = 5,663.30/x
  3. Step 3: Cross multiply
    19,703.84x = 29,556.27 × 5,663.30
  4. Step 4: Simplify right side
    19,703.84x = 167,385,995.57
  5. Step 5: Solve for x
    x = 167,385,995.57/19,703.84
  6. Step 6: Final answer
    x = 8,495.10

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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.