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Finding the Fourth Proportional to 14,310.76, 19,749 and 8,023

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Solution

The fourth proportional to 14,310.76, 19,749 and 8,023 is: 11,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.76 : 19,749 = 8,023 : x
  2. Step 2: Convert to fraction form
    14,310.76/19,749 = 8,023/x
  3. Step 3: Cross multiply
    14,310.76x = 19,749 × 8,023
  4. Step 4: Simplify right side
    14,310.76x = 158,446,227
  5. Step 5: Solve for x
    x = 158,446,227/14,310.76
  6. Step 6: Final answer
    x = 11,071.82

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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.