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Finding the Fourth Proportional to 19,518.08, 29,280 and 5,665.28

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Solution

The fourth proportional to 19,518.08, 29,280 and 5,665.28 is: 8,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,518.08 : 29,280 = 5,665.28 : x
  2. Step 2: Convert to fraction form
    19,518.08/29,280 = 5,665.28/x
  3. Step 3: Cross multiply
    19,518.08x = 29,280 × 5,665.28
  4. Step 4: Simplify right side
    19,518.08x = 165,879,398.40
  5. Step 5: Solve for x
    x = 165,879,398.40/19,518.08
  6. Step 6: Final answer
    x = 8,498.76

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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.