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Finding the Fourth Proportional to 24,831.36, 34,267.86 and 13,501.50

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Solution

The fourth proportional to 24,831.36, 34,267.86 and 13,501.50 is: 18,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,831.36 : 34,267.86 = 13,501.50 : x
  2. Step 2: Convert to fraction form
    24,831.36/34,267.86 = 13,501.50/x
  3. Step 3: Cross multiply
    24,831.36x = 34,267.86 × 13,501.50
  4. Step 4: Simplify right side
    24,831.36x = 462,667,511.79
  5. Step 5: Solve for x
    x = 462,667,511.79/24,831.36
  6. Step 6: Final answer
    x = 18,632.39

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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.