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Finding the Fourth Proportional to 12,612.24, 17,406.93 and 7,310.13

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Solution

The fourth proportional to 12,612.24, 17,406.93 and 7,310.13 is: 10,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612.24 : 17,406.93 = 7,310.13 : x
  2. Step 2: Convert to fraction form
    12,612.24/17,406.93 = 7,310.13/x
  3. Step 3: Cross multiply
    12,612.24x = 17,406.93 × 7,310.13
  4. Step 4: Simplify right side
    12,612.24x = 127,246,883.34
  5. Step 5: Solve for x
    x = 127,246,883.34/12,612.24
  6. Step 6: Final answer
    x = 10,089.16

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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.