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Finding the Fourth Proportional to 13,497.38, 18,626.34 and 7,529.06

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Solution

The fourth proportional to 13,497.38, 18,626.34 and 7,529.06 is: 10,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.38 : 18,626.34 = 7,529.06 : x
  2. Step 2: Convert to fraction form
    13,497.38/18,626.34 = 7,529.06/x
  3. Step 3: Cross multiply
    13,497.38x = 18,626.34 × 7,529.06
  4. Step 4: Simplify right side
    13,497.38x = 140,238,831.44
  5. Step 5: Solve for x
    x = 140,238,831.44/13,497.38
  6. Step 6: Final answer
    x = 10,390.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.