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Finding the Fourth Proportional to 24,695.64, 37,051.79 and 7,831.41

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Solution

The fourth proportional to 24,695.64, 37,051.79 and 7,831.41 is: 11,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,695.64 : 37,051.79 = 7,831.41 : x
  2. Step 2: Convert to fraction form
    24,695.64/37,051.79 = 7,831.41/x
  3. Step 3: Cross multiply
    24,695.64x = 37,051.79 × 7,831.41
  4. Step 4: Simplify right side
    24,695.64x = 290,167,719.57
  5. Step 5: Solve for x
    x = 290,167,719.57/24,695.64
  6. Step 6: Final answer
    x = 11,749.75

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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.