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Finding the Fourth Proportional to 13,036.42, 17,992.74 and 7,734.16

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Solution

The fourth proportional to 13,036.42, 17,992.74 and 7,734.16 is: 10,674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,036.42 : 17,992.74 = 7,734.16 : x
  2. Step 2: Convert to fraction form
    13,036.42/17,992.74 = 7,734.16/x
  3. Step 3: Cross multiply
    13,036.42x = 17,992.74 × 7,734.16
  4. Step 4: Simplify right side
    13,036.42x = 139,158,730.00
  5. Step 5: Solve for x
    x = 139,158,730.00/13,036.42
  6. Step 6: Final answer
    x = 10,674.61

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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.