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Finding the Fourth Proportional to 14,698.14, 22,049.91 and 4,838.01

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Solution

The fourth proportional to 14,698.14, 22,049.91 and 4,838.01 is: 7,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.14 : 22,049.91 = 4,838.01 : x
  2. Step 2: Convert to fraction form
    14,698.14/22,049.91 = 4,838.01/x
  3. Step 3: Cross multiply
    14,698.14x = 22,049.91 × 4,838.01
  4. Step 4: Simplify right side
    14,698.14x = 106,677,685.08
  5. Step 5: Solve for x
    x = 106,677,685.08/14,698.14
  6. Step 6: Final answer
    x = 7,257.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.