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Finding the Fourth Proportional to 22,702.51, 34,056.82 and 7,909.45

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Solution

The fourth proportional to 22,702.51, 34,056.82 and 7,909.45 is: 11,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.51 : 34,056.82 = 7,909.45 : x
  2. Step 2: Convert to fraction form
    22,702.51/34,056.82 = 7,909.45/x
  3. Step 3: Cross multiply
    22,702.51x = 34,056.82 × 7,909.45
  4. Step 4: Simplify right side
    22,702.51x = 269,370,639.69
  5. Step 5: Solve for x
    x = 269,370,639.69/22,702.51
  6. Step 6: Final answer
    x = 11,865.24

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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.