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Finding the Fourth Proportional to 13,784.82, 19,023.35 and 7,497.20

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Solution

The fourth proportional to 13,784.82, 19,023.35 and 7,497.20 is: 10,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.82 : 19,023.35 = 7,497.20 : x
  2. Step 2: Convert to fraction form
    13,784.82/19,023.35 = 7,497.20/x
  3. Step 3: Cross multiply
    13,784.82x = 19,023.35 × 7,497.20
  4. Step 4: Simplify right side
    13,784.82x = 142,621,727.02
  5. Step 5: Solve for x
    x = 142,621,727.02/13,784.82
  6. Step 6: Final answer
    x = 10,346.29

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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.