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Finding the Fourth Proportional to 22,495.24, 31,047.06 and 14,002.39

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Solution

The fourth proportional to 22,495.24, 31,047.06 and 14,002.39 is: 19,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,495.24 : 31,047.06 = 14,002.39 : x
  2. Step 2: Convert to fraction form
    22,495.24/31,047.06 = 14,002.39/x
  3. Step 3: Cross multiply
    22,495.24x = 31,047.06 × 14,002.39
  4. Step 4: Simplify right side
    22,495.24x = 434,733,042.47
  5. Step 5: Solve for x
    x = 434,733,042.47/22,495.24
  6. Step 6: Final answer
    x = 19,325.56

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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.