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Finding the Fourth Proportional to 19,484.16, 29,232 and 5,633.28

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Solution

The fourth proportional to 19,484.16, 29,232 and 5,633.28 is: 8,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,484.16 : 29,232 = 5,633.28 : x
  2. Step 2: Convert to fraction form
    19,484.16/29,232 = 5,633.28/x
  3. Step 3: Cross multiply
    19,484.16x = 29,232 × 5,633.28
  4. Step 4: Simplify right side
    19,484.16x = 164,672,040.96
  5. Step 5: Solve for x
    x = 164,672,040.96/19,484.16
  6. Step 6: Final answer
    x = 8,451.59

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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.