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Finding the Fourth Proportional to 12,415.30, 17,134.08 and 7,111.82

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Solution

The fourth proportional to 12,415.30, 17,134.08 and 7,111.82 is: 9,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.30 : 17,134.08 = 7,111.82 : x
  2. Step 2: Convert to fraction form
    12,415.30/17,134.08 = 7,111.82/x
  3. Step 3: Cross multiply
    12,415.30x = 17,134.08 × 7,111.82
  4. Step 4: Simplify right side
    12,415.30x = 121,854,492.83
  5. Step 5: Solve for x
    x = 121,854,492.83/12,415.30
  6. Step 6: Final answer
    x = 9,814.86

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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.