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Finding the Fourth Proportional to 19,572.52, 29,362.30 and 9,184

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Solution

The fourth proportional to 19,572.52, 29,362.30 and 9,184 is: 13,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,572.52 : 29,362.30 = 9,184 : x
  2. Step 2: Convert to fraction form
    19,572.52/29,362.30 = 9,184/x
  3. Step 3: Cross multiply
    19,572.52x = 29,362.30 × 9,184
  4. Step 4: Simplify right side
    19,572.52x = 269,663,363.20
  5. Step 5: Solve for x
    x = 269,663,363.20/19,572.52
  6. Step 6: Final answer
    x = 13,777.65

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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.