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Finding the Fourth Proportional to 13,774.91, 19,009.49 and 7,487.28

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Solution

The fourth proportional to 13,774.91, 19,009.49 and 7,487.28 is: 10,332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.91 : 19,009.49 = 7,487.28 : x
  2. Step 2: Convert to fraction form
    13,774.91/19,009.49 = 7,487.28/x
  3. Step 3: Cross multiply
    13,774.91x = 19,009.49 × 7,487.28
  4. Step 4: Simplify right side
    13,774.91x = 142,329,336.85
  5. Step 5: Solve for x
    x = 142,329,336.85/13,774.91
  6. Step 6: Final answer
    x = 10,332.51

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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.