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Finding the Fourth Proportional to 12,851.26, 19,229.94 and 7,588.76

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Solution

The fourth proportional to 12,851.26, 19,229.94 and 7,588.76 is: 11,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.26 : 19,229.94 = 7,588.76 : x
  2. Step 2: Convert to fraction form
    12,851.26/19,229.94 = 7,588.76/x
  3. Step 3: Cross multiply
    12,851.26x = 19,229.94 × 7,588.76
  4. Step 4: Simplify right side
    12,851.26x = 145,931,303.32
  5. Step 5: Solve for x
    x = 145,931,303.32/12,851.26
  6. Step 6: Final answer
    x = 11,355.41

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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.