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Finding the Fourth Proportional to 12,533.40, 18,788.74 and 5,136.48

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Solution

The fourth proportional to 12,533.40, 18,788.74 and 5,136.48 is: 7,700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.40 : 18,788.74 = 5,136.48 : x
  2. Step 2: Convert to fraction form
    12,533.40/18,788.74 = 5,136.48/x
  3. Step 3: Cross multiply
    12,533.40x = 18,788.74 × 5,136.48
  4. Step 4: Simplify right side
    12,533.40x = 96,507,987.24
  5. Step 5: Solve for x
    x = 96,507,987.24/12,533.40
  6. Step 6: Final answer
    x = 7,700.06

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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.