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Finding the Fourth Proportional to 21,124.01, 31,656.40 and 16,422.50

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Solution

The fourth proportional to 21,124.01, 31,656.40 and 16,422.50 is: 24,610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.01 : 31,656.40 = 16,422.50 : x
  2. Step 2: Convert to fraction form
    21,124.01/31,656.40 = 16,422.50/x
  3. Step 3: Cross multiply
    21,124.01x = 31,656.40 × 16,422.50
  4. Step 4: Simplify right side
    21,124.01x = 519,877,229
  5. Step 5: Solve for x
    x = 519,877,229/21,124.01
  6. Step 6: Final answer
    x = 24,610.73

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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.