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Finding the Fourth Proportional to 13,784.48, 19,022.73 and 7,496.87

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Solution

The fourth proportional to 13,784.48, 19,022.73 and 7,496.87 is: 10,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.48 : 19,022.73 = 7,496.87 : x
  2. Step 2: Convert to fraction form
    13,784.48/19,022.73 = 7,496.87/x
  3. Step 3: Cross multiply
    13,784.48x = 19,022.73 × 7,496.87
  4. Step 4: Simplify right side
    13,784.48x = 142,610,933.86
  5. Step 5: Solve for x
    x = 142,610,933.86/13,784.48
  6. Step 6: Final answer
    x = 10,345.76

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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.