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Finding the Fourth Proportional to 22,468.63, 31,002.81 and 14,409.34

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Solution

The fourth proportional to 22,468.63, 31,002.81 and 14,409.34 is: 19,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.63 : 31,002.81 = 14,409.34 : x
  2. Step 2: Convert to fraction form
    22,468.63/31,002.81 = 14,409.34/x
  3. Step 3: Cross multiply
    22,468.63x = 31,002.81 × 14,409.34
  4. Step 4: Simplify right side
    22,468.63x = 446,730,030.25
  5. Step 5: Solve for x
    x = 446,730,030.25/22,468.63
  6. Step 6: Final answer
    x = 19,882.39

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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.