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Finding the Fourth Proportional to 13,784, 19,021.92 and 7,496.51

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Solution

The fourth proportional to 13,784, 19,021.92 and 7,496.51 is: 10,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784 : 19,021.92 = 7,496.51 : x
  2. Step 2: Convert to fraction form
    13,784/19,021.92 = 7,496.51/x
  3. Step 3: Cross multiply
    13,784x = 19,021.92 × 7,496.51
  4. Step 4: Simplify right side
    13,784x = 142,598,013.50
  5. Step 5: Solve for x
    x = 142,598,013.50/13,784
  6. Step 6: Final answer
    x = 10,345.18

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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.