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Finding the Fourth Proportional to 13,111.94, 19,653.57 and 8,174.79

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Solution

The fourth proportional to 13,111.94, 19,653.57 and 8,174.79 is: 12,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,111.94 : 19,653.57 = 8,174.79 : x
  2. Step 2: Convert to fraction form
    13,111.94/19,653.57 = 8,174.79/x
  3. Step 3: Cross multiply
    13,111.94x = 19,653.57 × 8,174.79
  4. Step 4: Simplify right side
    13,111.94x = 160,663,807.50
  5. Step 5: Solve for x
    x = 160,663,807.50/13,111.94
  6. Step 6: Final answer
    x = 12,253.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.