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Finding the Fourth Proportional to 14,031.16, 19,354.38 and 8,362

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Solution

The fourth proportional to 14,031.16, 19,354.38 and 8,362 is: 11,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.16 : 19,354.38 = 8,362 : x
  2. Step 2: Convert to fraction form
    14,031.16/19,354.38 = 8,362/x
  3. Step 3: Cross multiply
    14,031.16x = 19,354.38 × 8,362
  4. Step 4: Simplify right side
    14,031.16x = 161,841,325.56
  5. Step 5: Solve for x
    x = 161,841,325.56/14,031.16
  6. Step 6: Final answer
    x = 11,534.42

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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.