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Finding the Fourth Proportional to 12,643.74, 17,456.58 and 11,315.16

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Solution

The fourth proportional to 12,643.74, 17,456.58 and 11,315.16 is: 15,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.74 : 17,456.58 = 11,315.16 : x
  2. Step 2: Convert to fraction form
    12,643.74/17,456.58 = 11,315.16/x
  3. Step 3: Cross multiply
    12,643.74x = 17,456.58 × 11,315.16
  4. Step 4: Simplify right side
    12,643.74x = 197,523,995.75
  5. Step 5: Solve for x
    x = 197,523,995.75/12,643.74
  6. Step 6: Final answer
    x = 15,622.28

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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.