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Finding the Fourth Proportional to 19,552.48, 26,981.72 and 11,590

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Solution

The fourth proportional to 19,552.48, 26,981.72 and 11,590 is: 15,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,552.48 : 26,981.72 = 11,590 : x
  2. Step 2: Convert to fraction form
    19,552.48/26,981.72 = 11,590/x
  3. Step 3: Cross multiply
    19,552.48x = 26,981.72 × 11,590
  4. Step 4: Simplify right side
    19,552.48x = 312,718,134.80
  5. Step 5: Solve for x
    x = 312,718,134.80/19,552.48
  6. Step 6: Final answer
    x = 15,993.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.