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Finding the Fourth Proportional to 15,800.06, 21,804.02 and 9,512.78

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Solution

The fourth proportional to 15,800.06, 21,804.02 and 9,512.78 is: 13,127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800.06 : 21,804.02 = 9,512.78 : x
  2. Step 2: Convert to fraction form
    15,800.06/21,804.02 = 9,512.78/x
  3. Step 3: Cross multiply
    15,800.06x = 21,804.02 × 9,512.78
  4. Step 4: Simplify right side
    15,800.06x = 207,416,845.38
  5. Step 5: Solve for x
    x = 207,416,845.38/15,800.06
  6. Step 6: Final answer
    x = 13,127.60

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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.