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Finding the Fourth Proportional to 12,416.54, 17,134.76 and 7,111.24

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Solution

The fourth proportional to 12,416.54, 17,134.76 and 7,111.24 is: 9,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.54 : 17,134.76 = 7,111.24 : x
  2. Step 2: Convert to fraction form
    12,416.54/17,134.76 = 7,111.24/x
  3. Step 3: Cross multiply
    12,416.54x = 17,134.76 × 7,111.24
  4. Step 4: Simplify right side
    12,416.54x = 121,849,365.64
  5. Step 5: Solve for x
    x = 121,849,365.64/12,416.54
  6. Step 6: Final answer
    x = 9,813.48

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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.