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Finding the Fourth Proportional to 19,669, 29,509.28 and 5,818.36

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Solution

The fourth proportional to 19,669, 29,509.28 and 5,818.36 is: 8,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,669 : 29,509.28 = 5,818.36 : x
  2. Step 2: Convert to fraction form
    19,669/29,509.28 = 5,818.36/x
  3. Step 3: Cross multiply
    19,669x = 29,509.28 × 5,818.36
  4. Step 4: Simplify right side
    19,669x = 171,695,614.38
  5. Step 5: Solve for x
    x = 171,695,614.38/19,669
  6. Step 6: Final answer
    x = 8,729.25

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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.