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Finding the Fourth Proportional to 25,334.64, 34,959.84 and 14,004

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Solution

The fourth proportional to 25,334.64, 34,959.84 and 14,004 is: 19,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,334.64 : 34,959.84 = 14,004 : x
  2. Step 2: Convert to fraction form
    25,334.64/34,959.84 = 14,004/x
  3. Step 3: Cross multiply
    25,334.64x = 34,959.84 × 14,004
  4. Step 4: Simplify right side
    25,334.64x = 489,577,599.36
  5. Step 5: Solve for x
    x = 489,577,599.36/25,334.64
  6. Step 6: Final answer
    x = 19,324.43

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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.