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Finding the Fourth Proportional to 22,503.00, 31,054.38 and 12,431.71

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Solution

The fourth proportional to 22,503.00, 31,054.38 and 12,431.71 is: 17,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,503.00 : 31,054.38 = 12,431.71 : x
  2. Step 2: Convert to fraction form
    22,503.00/31,054.38 = 12,431.71/x
  3. Step 3: Cross multiply
    22,503.00x = 31,054.38 × 12,431.71
  4. Step 4: Simplify right side
    22,503.00x = 386,058,828.96
  5. Step 5: Solve for x
    x = 386,058,828.96/22,503.00
  6. Step 6: Final answer
    x = 17,155.89

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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.