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Finding the Fourth Proportional to 12,294.14, 16,965.99 and 6,988.95

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Solution

The fourth proportional to 12,294.14, 16,965.99 and 6,988.95 is: 9,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.14 : 16,965.99 = 6,988.95 : x
  2. Step 2: Convert to fraction form
    12,294.14/16,965.99 = 6,988.95/x
  3. Step 3: Cross multiply
    12,294.14x = 16,965.99 × 6,988.95
  4. Step 4: Simplify right side
    12,294.14x = 118,574,455.81
  5. Step 5: Solve for x
    x = 118,574,455.81/12,294.14
  6. Step 6: Final answer
    x = 9,644.80

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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.