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Finding the Fourth Proportional to 13,037.12, 17,990.74 and 7,728.76

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Solution

The fourth proportional to 13,037.12, 17,990.74 and 7,728.76 is: 10,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.12 : 17,990.74 = 7,728.76 : x
  2. Step 2: Convert to fraction form
    13,037.12/17,990.74 = 7,728.76/x
  3. Step 3: Cross multiply
    13,037.12x = 17,990.74 × 7,728.76
  4. Step 4: Simplify right side
    13,037.12x = 139,046,111.68
  5. Step 5: Solve for x
    x = 139,046,111.68/13,037.12
  6. Step 6: Final answer
    x = 10,665.40

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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.