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Finding the Fourth Proportional to 14,695, 22,037.02 and 4,831.63

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Solution

The fourth proportional to 14,695, 22,037.02 and 4,831.63 is: 7,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,695 : 22,037.02 = 4,831.63 : x
  2. Step 2: Convert to fraction form
    14,695/22,037.02 = 4,831.63/x
  3. Step 3: Cross multiply
    14,695x = 22,037.02 × 4,831.63
  4. Step 4: Simplify right side
    14,695x = 106,474,726.94
  5. Step 5: Solve for x
    x = 106,474,726.94/14,695
  6. Step 6: Final answer
    x = 7,245.64

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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.