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Finding the Fourth Proportional to 14,898.24, 22,318.74 and 7,484.58

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Solution

The fourth proportional to 14,898.24, 22,318.74 and 7,484.58 is: 11,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,898.24 : 22,318.74 = 7,484.58 : x
  2. Step 2: Convert to fraction form
    14,898.24/22,318.74 = 7,484.58/x
  3. Step 3: Cross multiply
    14,898.24x = 22,318.74 × 7,484.58
  4. Step 4: Simplify right side
    14,898.24x = 167,046,395.03
  5. Step 5: Solve for x
    x = 167,046,395.03/14,898.24
  6. Step 6: Final answer
    x = 11,212.49

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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.