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Finding the Fourth Proportional to 24,259.17, 36,388.74 and 6,729

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Solution

The fourth proportional to 24,259.17, 36,388.74 and 6,729 is: 10,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,259.17 : 36,388.74 = 6,729 : x
  2. Step 2: Convert to fraction form
    24,259.17/36,388.74 = 6,729/x
  3. Step 3: Cross multiply
    24,259.17x = 36,388.74 × 6,729
  4. Step 4: Simplify right side
    24,259.17x = 244,859,831.46
  5. Step 5: Solve for x
    x = 244,859,831.46/24,259.17
  6. Step 6: Final answer
    x = 10,093.50

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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.