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Finding the Fourth Proportional to 19,425.50, 26,807.22 and 11,042

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Solution

The fourth proportional to 19,425.50, 26,807.22 and 11,042 is: 15,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,425.50 : 26,807.22 = 11,042 : x
  2. Step 2: Convert to fraction form
    19,425.50/26,807.22 = 11,042/x
  3. Step 3: Cross multiply
    19,425.50x = 26,807.22 × 11,042
  4. Step 4: Simplify right side
    19,425.50x = 296,005,323.24
  5. Step 5: Solve for x
    x = 296,005,323.24/19,425.50
  6. Step 6: Final answer
    x = 15,237.98

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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.