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Finding the Fourth Proportional to 14,671.52, 22,005.12 and 4,811.84

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Solution

The fourth proportional to 14,671.52, 22,005.12 and 4,811.84 is: 7,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671.52 : 22,005.12 = 4,811.84 : x
  2. Step 2: Convert to fraction form
    14,671.52/22,005.12 = 4,811.84/x
  3. Step 3: Cross multiply
    14,671.52x = 22,005.12 × 4,811.84
  4. Step 4: Simplify right side
    14,671.52x = 105,885,116.62
  5. Step 5: Solve for x
    x = 105,885,116.62/14,671.52
  6. Step 6: Final answer
    x = 7,217.05

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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.