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Finding the Fourth Proportional to 12,148.63, 16,758.72 and 8,365.24

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Solution

The fourth proportional to 12,148.63, 16,758.72 and 8,365.24 is: 11,539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.63 : 16,758.72 = 8,365.24 : x
  2. Step 2: Convert to fraction form
    12,148.63/16,758.72 = 8,365.24/x
  3. Step 3: Cross multiply
    12,148.63x = 16,758.72 × 8,365.24
  4. Step 4: Simplify right side
    12,148.63x = 140,190,688.67
  5. Step 5: Solve for x
    x = 140,190,688.67/12,148.63
  6. Step 6: Final answer
    x = 11,539.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.