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Finding the Fourth Proportional to 19,468.88, 29,200.44 and 7,154

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Solution

The fourth proportional to 19,468.88, 29,200.44 and 7,154 is: 10,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,468.88 : 29,200.44 = 7,154 : x
  2. Step 2: Convert to fraction form
    19,468.88/29,200.44 = 7,154/x
  3. Step 3: Cross multiply
    19,468.88x = 29,200.44 × 7,154
  4. Step 4: Simplify right side
    19,468.88x = 208,899,947.76
  5. Step 5: Solve for x
    x = 208,899,947.76/19,468.88
  6. Step 6: Final answer
    x = 10,729.94

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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.