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Finding the Fourth Proportional to 14,341.64, 19,793.28 and 8,054

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Solution

The fourth proportional to 14,341.64, 19,793.28 and 8,054 is: 11,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,341.64 : 19,793.28 = 8,054 : x
  2. Step 2: Convert to fraction form
    14,341.64/19,793.28 = 8,054/x
  3. Step 3: Cross multiply
    14,341.64x = 19,793.28 × 8,054
  4. Step 4: Simplify right side
    14,341.64x = 159,415,077.12
  5. Step 5: Solve for x
    x = 159,415,077.12/14,341.64
  6. Step 6: Final answer
    x = 11,115.54

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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.