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Finding the Fourth Proportional to 19,813.14, 29,711.07 and 7,492.50

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Solution

The fourth proportional to 19,813.14, 29,711.07 and 7,492.50 is: 11,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.14 : 29,711.07 = 7,492.50 : x
  2. Step 2: Convert to fraction form
    19,813.14/29,711.07 = 7,492.50/x
  3. Step 3: Cross multiply
    19,813.14x = 29,711.07 × 7,492.50
  4. Step 4: Simplify right side
    19,813.14x = 222,610,191.98
  5. Step 5: Solve for x
    x = 222,610,191.98/19,813.14
  6. Step 6: Final answer
    x = 11,235.48

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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.