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Finding the Fourth Proportional to 12,343, 17,033.40 and 7,037.76

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Solution

The fourth proportional to 12,343, 17,033.40 and 7,037.76 is: 9,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343 : 17,033.40 = 7,037.76 : x
  2. Step 2: Convert to fraction form
    12,343/17,033.40 = 7,037.76/x
  3. Step 3: Cross multiply
    12,343x = 17,033.40 × 7,037.76
  4. Step 4: Simplify right side
    12,343x = 119,876,981.18
  5. Step 5: Solve for x
    x = 119,876,981.18/12,343
  6. Step 6: Final answer
    x = 9,712.14

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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.