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Finding the Fourth Proportional to 14,364.56, 19,822.92 and 8,078

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Solution

The fourth proportional to 14,364.56, 19,822.92 and 8,078 is: 11,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.56 : 19,822.92 = 8,078 : x
  2. Step 2: Convert to fraction form
    14,364.56/19,822.92 = 8,078/x
  3. Step 3: Cross multiply
    14,364.56x = 19,822.92 × 8,078
  4. Step 4: Simplify right side
    14,364.56x = 160,129,547.76
  5. Step 5: Solve for x
    x = 160,129,547.76/14,364.56
  6. Step 6: Final answer
    x = 11,147.54

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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.