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Finding the Fourth Proportional to 19,591.86, 29,392.76 and 9,069.47

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Solution

The fourth proportional to 19,591.86, 29,392.76 and 9,069.47 is: 13,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,591.86 : 29,392.76 = 9,069.47 : x
  2. Step 2: Convert to fraction form
    19,591.86/29,392.76 = 9,069.47/x
  3. Step 3: Cross multiply
    19,591.86x = 29,392.76 × 9,069.47
  4. Step 4: Simplify right side
    19,591.86x = 266,576,689.95
  5. Step 5: Solve for x
    x = 266,576,689.95/19,591.86
  6. Step 6: Final answer
    x = 13,606.50

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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.