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Finding the Fourth Proportional to 21,042, 31,573.80 and 10,654.02

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Solution

The fourth proportional to 21,042, 31,573.80 and 10,654.02 is: 15,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042 : 31,573.80 = 10,654.02 : x
  2. Step 2: Convert to fraction form
    21,042/31,573.80 = 10,654.02/x
  3. Step 3: Cross multiply
    21,042x = 31,573.80 × 10,654.02
  4. Step 4: Simplify right side
    21,042x = 336,387,896.68
  5. Step 5: Solve for x
    x = 336,387,896.68/21,042
  6. Step 6: Final answer
    x = 15,986.50

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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.