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Finding the Fourth Proportional to 14,098.56, 21,148.08 and 5,337.60

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Solution

The fourth proportional to 14,098.56, 21,148.08 and 5,337.60 is: 8,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.56 : 21,148.08 = 5,337.60 : x
  2. Step 2: Convert to fraction form
    14,098.56/21,148.08 = 5,337.60/x
  3. Step 3: Cross multiply
    14,098.56x = 21,148.08 × 5,337.60
  4. Step 4: Simplify right side
    14,098.56x = 112,879,991.81
  5. Step 5: Solve for x
    x = 112,879,991.81/14,098.56
  6. Step 6: Final answer
    x = 8,006.49

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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.