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Finding the Fourth Proportional to 19,557.78, 29,332.14 and 11,662.50

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Solution

The fourth proportional to 19,557.78, 29,332.14 and 11,662.50 is: 17,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,557.78 : 29,332.14 = 11,662.50 : x
  2. Step 2: Convert to fraction form
    19,557.78/29,332.14 = 11,662.50/x
  3. Step 3: Cross multiply
    19,557.78x = 29,332.14 × 11,662.50
  4. Step 4: Simplify right side
    19,557.78x = 342,086,082.75
  5. Step 5: Solve for x
    x = 342,086,082.75/19,557.78
  6. Step 6: Final answer
    x = 17,491.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.