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Finding the Fourth Proportional to 12,026.52, 16,597.44 and 7,834.77

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Solution

The fourth proportional to 12,026.52, 16,597.44 and 7,834.77 is: 10,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.52 : 16,597.44 = 7,834.77 : x
  2. Step 2: Convert to fraction form
    12,026.52/16,597.44 = 7,834.77/x
  3. Step 3: Cross multiply
    12,026.52x = 16,597.44 × 7,834.77
  4. Step 4: Simplify right side
    12,026.52x = 130,037,124.99
  5. Step 5: Solve for x
    x = 130,037,124.99/12,026.52
  6. Step 6: Final answer
    x = 10,812.53

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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.