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Finding the Fourth Proportional to 25,058.50, 34,580.81 and 13,880.50

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Solution

The fourth proportional to 25,058.50, 34,580.81 and 13,880.50 is: 19,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,058.50 : 34,580.81 = 13,880.50 : x
  2. Step 2: Convert to fraction form
    25,058.50/34,580.81 = 13,880.50/x
  3. Step 3: Cross multiply
    25,058.50x = 34,580.81 × 13,880.50
  4. Step 4: Simplify right side
    25,058.50x = 479,998,933.21
  5. Step 5: Solve for x
    x = 479,998,933.21/25,058.50
  6. Step 6: Final answer
    x = 19,155.13

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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.