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Finding the Fourth Proportional to 15,806.50, 23,702.76 and 8,409.20

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Solution

The fourth proportional to 15,806.50, 23,702.76 and 8,409.20 is: 12,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.50 : 23,702.76 = 8,409.20 : x
  2. Step 2: Convert to fraction form
    15,806.50/23,702.76 = 8,409.20/x
  3. Step 3: Cross multiply
    15,806.50x = 23,702.76 × 8,409.20
  4. Step 4: Simplify right side
    15,806.50x = 199,321,264.21
  5. Step 5: Solve for x
    x = 199,321,264.21/15,806.50
  6. Step 6: Final answer
    x = 12,610.08

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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.