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Finding the Fourth Proportional to 15,740.83, 21,702.22 and 12,897.73

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Solution

The fourth proportional to 15,740.83, 21,702.22 and 12,897.73 is: 17,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740.83 : 21,702.22 = 12,897.73 : x
  2. Step 2: Convert to fraction form
    15,740.83/21,702.22 = 12,897.73/x
  3. Step 3: Cross multiply
    15,740.83x = 21,702.22 × 12,897.73
  4. Step 4: Simplify right side
    15,740.83x = 279,909,373.96
  5. Step 5: Solve for x
    x = 279,909,373.96/15,740.83
  6. Step 6: Final answer
    x = 17,782.38

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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.