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Finding the Fourth Proportional to 12,492.17, 17,253.36 and 8,506.36

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Solution

The fourth proportional to 12,492.17, 17,253.36 and 8,506.36 is: 11,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492.17 : 17,253.36 = 8,506.36 : x
  2. Step 2: Convert to fraction form
    12,492.17/17,253.36 = 8,506.36/x
  3. Step 3: Cross multiply
    12,492.17x = 17,253.36 × 8,506.36
  4. Step 4: Simplify right side
    12,492.17x = 146,763,248.24
  5. Step 5: Solve for x
    x = 146,763,248.24/12,492.17
  6. Step 6: Final answer
    x = 11,748.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.