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Finding the Fourth Proportional to 14,747, 22,120.58 and 3,803

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Solution

The fourth proportional to 14,747, 22,120.58 and 3,803 is: 5,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,747 : 22,120.58 = 3,803 : x
  2. Step 2: Convert to fraction form
    14,747/22,120.58 = 3,803/x
  3. Step 3: Cross multiply
    14,747x = 22,120.58 × 3,803
  4. Step 4: Simplify right side
    14,747x = 84,124,565.74
  5. Step 5: Solve for x
    x = 84,124,565.74/14,747
  6. Step 6: Final answer
    x = 5,704.52

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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.