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Finding the Fourth Proportional to 12,513.36, 18,766.29 and 7,840.47

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Solution

The fourth proportional to 12,513.36, 18,766.29 and 7,840.47 is: 11,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.36 : 18,766.29 = 7,840.47 : x
  2. Step 2: Convert to fraction form
    12,513.36/18,766.29 = 7,840.47/x
  3. Step 3: Cross multiply
    12,513.36x = 18,766.29 × 7,840.47
  4. Step 4: Simplify right side
    12,513.36x = 147,136,533.76
  5. Step 5: Solve for x
    x = 147,136,533.76/12,513.36
  6. Step 6: Final answer
    x = 11,758.36

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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.