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Finding the Fourth Proportional to 14,262.84, 19,680.33 and 8,294.76

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Solution

The fourth proportional to 14,262.84, 19,680.33 and 8,294.76 is: 11,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.84 : 19,680.33 = 8,294.76 : x
  2. Step 2: Convert to fraction form
    14,262.84/19,680.33 = 8,294.76/x
  3. Step 3: Cross multiply
    14,262.84x = 19,680.33 × 8,294.76
  4. Step 4: Simplify right side
    14,262.84x = 163,243,645.18
  5. Step 5: Solve for x
    x = 163,243,645.18/14,262.84
  6. Step 6: Final answer
    x = 11,445.38

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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.