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Finding the Fourth Proportional to 12,492.42, 17,239.24 and 6,827.18

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Solution

The fourth proportional to 12,492.42, 17,239.24 and 6,827.18 is: 9,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492.42 : 17,239.24 = 6,827.18 : x
  2. Step 2: Convert to fraction form
    12,492.42/17,239.24 = 6,827.18/x
  3. Step 3: Cross multiply
    12,492.42x = 17,239.24 × 6,827.18
  4. Step 4: Simplify right side
    12,492.42x = 117,695,316.88
  5. Step 5: Solve for x
    x = 117,695,316.88/12,492.42
  6. Step 6: Final answer
    x = 9,421.34

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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.