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Finding the Fourth Proportional to 14,497.92, 20,023.44 and 9,774

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Solution

The fourth proportional to 14,497.92, 20,023.44 and 9,774 is: 13,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.92 : 20,023.44 = 9,774 : x
  2. Step 2: Convert to fraction form
    14,497.92/20,023.44 = 9,774/x
  3. Step 3: Cross multiply
    14,497.92x = 20,023.44 × 9,774
  4. Step 4: Simplify right side
    14,497.92x = 195,709,102.56
  5. Step 5: Solve for x
    x = 195,709,102.56/14,497.92
  6. Step 6: Final answer
    x = 13,499.12

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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.