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Finding the Fourth Proportional to 13,719.07, 20,574.54 and 5,821.48

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Solution

The fourth proportional to 13,719.07, 20,574.54 and 5,821.48 is: 8,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.07 : 20,574.54 = 5,821.48 : x
  2. Step 2: Convert to fraction form
    13,719.07/20,574.54 = 5,821.48/x
  3. Step 3: Cross multiply
    13,719.07x = 20,574.54 × 5,821.48
  4. Step 4: Simplify right side
    13,719.07x = 119,774,273.12
  5. Step 5: Solve for x
    x = 119,774,273.12/13,719.07
  6. Step 6: Final answer
    x = 8,730.50

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Why These Related Problems?

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