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Finding the Fourth Proportional to 14,930.17, 22,409.11 and 7,539.82

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Solution

The fourth proportional to 14,930.17, 22,409.11 and 7,539.82 is: 11,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,930.17 : 22,409.11 = 7,539.82 : x
  2. Step 2: Convert to fraction form
    14,930.17/22,409.11 = 7,539.82/x
  3. Step 3: Cross multiply
    14,930.17x = 22,409.11 × 7,539.82
  4. Step 4: Simplify right side
    14,930.17x = 168,960,566.75
  5. Step 5: Solve for x
    x = 168,960,566.75/14,930.17
  6. Step 6: Final answer
    x = 11,316.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.