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Finding the Fourth Proportional to 12,136.25, 18,208.73 and 4,746.01

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Solution

The fourth proportional to 12,136.25, 18,208.73 and 4,746.01 is: 7,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.25 : 18,208.73 = 4,746.01 : x
  2. Step 2: Convert to fraction form
    12,136.25/18,208.73 = 4,746.01/x
  3. Step 3: Cross multiply
    12,136.25x = 18,208.73 × 4,746.01
  4. Step 4: Simplify right side
    12,136.25x = 86,418,814.67
  5. Step 5: Solve for x
    x = 86,418,814.67/12,136.25
  6. Step 6: Final answer
    x = 7,120.72

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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.