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Finding the Fourth Proportional to 13,201.79, 19,753.47 and 13,054.16

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Solution

The fourth proportional to 13,201.79, 19,753.47 and 13,054.16 is: 19,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.79 : 19,753.47 = 13,054.16 : x
  2. Step 2: Convert to fraction form
    13,201.79/19,753.47 = 13,054.16/x
  3. Step 3: Cross multiply
    13,201.79x = 19,753.47 × 13,054.16
  4. Step 4: Simplify right side
    13,201.79x = 257,864,957.94
  5. Step 5: Solve for x
    x = 257,864,957.94/13,201.79
  6. Step 6: Final answer
    x = 19,532.58

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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.