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Finding the Fourth Proportional to 12,345.06, 17,035.92 and 7,039.38

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Solution

The fourth proportional to 12,345.06, 17,035.92 and 7,039.38 is: 9,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345.06 : 17,035.92 = 7,039.38 : x
  2. Step 2: Convert to fraction form
    12,345.06/17,035.92 = 7,039.38/x
  3. Step 3: Cross multiply
    12,345.06x = 17,035.92 × 7,039.38
  4. Step 4: Simplify right side
    12,345.06x = 119,922,314.53
  5. Step 5: Solve for x
    x = 119,922,314.53/12,345.06
  6. Step 6: Final answer
    x = 9,714.19

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Why These Related Problems?

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