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Finding the Fourth Proportional to 19,774.28, 29,656.77 and 5,730.57

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Solution

The fourth proportional to 19,774.28, 29,656.77 and 5,730.57 is: 8,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.28 : 29,656.77 = 5,730.57 : x
  2. Step 2: Convert to fraction form
    19,774.28/29,656.77 = 5,730.57/x
  3. Step 3: Cross multiply
    19,774.28x = 29,656.77 × 5,730.57
  4. Step 4: Simplify right side
    19,774.28x = 169,950,196.46
  5. Step 5: Solve for x
    x = 169,950,196.46/19,774.28
  6. Step 6: Final answer
    x = 8,594.51

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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.