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Finding the Fourth Proportional to 19,615.13, 29,427.68 and 5,764.13

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Solution

The fourth proportional to 19,615.13, 29,427.68 and 5,764.13 is: 8,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.13 : 29,427.68 = 5,764.13 : x
  2. Step 2: Convert to fraction form
    19,615.13/29,427.68 = 5,764.13/x
  3. Step 3: Cross multiply
    19,615.13x = 29,427.68 × 5,764.13
  4. Step 4: Simplify right side
    19,615.13x = 169,624,973.12
  5. Step 5: Solve for x
    x = 169,624,973.12/19,615.13
  6. Step 6: Final answer
    x = 8,647.66

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Why These Related Problems?

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