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Finding the Fourth Proportional to 13,015.74, 19,527.26 and 5,230.02

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Solution

The fourth proportional to 13,015.74, 19,527.26 and 5,230.02 is: 7,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.74 : 19,527.26 = 5,230.02 : x
  2. Step 2: Convert to fraction form
    13,015.74/19,527.26 = 5,230.02/x
  3. Step 3: Cross multiply
    13,015.74x = 19,527.26 × 5,230.02
  4. Step 4: Simplify right side
    13,015.74x = 102,127,960.35
  5. Step 5: Solve for x
    x = 102,127,960.35/13,015.74
  6. Step 6: Final answer
    x = 7,846.50

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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.