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Finding the Fourth Proportional to 13,097.44, 19,649.92 and 6,521.92

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Solution

The fourth proportional to 13,097.44, 19,649.92 and 6,521.92 is: 9,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.44 : 19,649.92 = 6,521.92 : x
  2. Step 2: Convert to fraction form
    13,097.44/19,649.92 = 6,521.92/x
  3. Step 3: Cross multiply
    13,097.44x = 19,649.92 × 6,521.92
  4. Step 4: Simplify right side
    13,097.44x = 128,155,206.25
  5. Step 5: Solve for x
    x = 128,155,206.25/13,097.44
  6. Step 6: Final answer
    x = 9,784.75

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