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Finding the Fourth Proportional to 14,903.64, 22,357.98 and 6,136.20

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Solution

The fourth proportional to 14,903.64, 22,357.98 and 6,136.20 is: 9,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903.64 : 22,357.98 = 6,136.20 : x
  2. Step 2: Convert to fraction form
    14,903.64/22,357.98 = 6,136.20/x
  3. Step 3: Cross multiply
    14,903.64x = 22,357.98 × 6,136.20
  4. Step 4: Simplify right side
    14,903.64x = 137,193,036.88
  5. Step 5: Solve for x
    x = 137,193,036.88/14,903.64
  6. Step 6: Final answer
    x = 9,205.34

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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.