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Finding the Fourth Proportional to 15,101.94, 22,659.66 and 7,702.50

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Solution

The fourth proportional to 15,101.94, 22,659.66 and 7,702.50 is: 11,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.94 : 22,659.66 = 7,702.50 : x
  2. Step 2: Convert to fraction form
    15,101.94/22,659.66 = 7,702.50/x
  3. Step 3: Cross multiply
    15,101.94x = 22,659.66 × 7,702.50
  4. Step 4: Simplify right side
    15,101.94x = 174,536,031.15
  5. Step 5: Solve for x
    x = 174,536,031.15/15,101.94
  6. Step 6: Final answer
    x = 11,557.19

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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.