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Finding the Fourth Proportional to 14,382, 19,848.24 and 8,094.24

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Solution

The fourth proportional to 14,382, 19,848.24 and 8,094.24 is: 11,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382 : 19,848.24 = 8,094.24 : x
  2. Step 2: Convert to fraction form
    14,382/19,848.24 = 8,094.24/x
  3. Step 3: Cross multiply
    14,382x = 19,848.24 × 8,094.24
  4. Step 4: Simplify right side
    14,382x = 160,656,418.14
  5. Step 5: Solve for x
    x = 160,656,418.14/14,382
  6. Step 6: Final answer
    x = 11,170.66

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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.