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Finding the Fourth Proportional to 25,335, 34,964.46 and 14,159.16

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Solution

The fourth proportional to 25,335, 34,964.46 and 14,159.16 is: 19,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,335 : 34,964.46 = 14,159.16 : x
  2. Step 2: Convert to fraction form
    25,335/34,964.46 = 14,159.16/x
  3. Step 3: Cross multiply
    25,335x = 34,964.46 × 14,159.16
  4. Step 4: Simplify right side
    25,335x = 495,067,383.45
  5. Step 5: Solve for x
    x = 495,067,383.45/25,335
  6. Step 6: Final answer
    x = 19,540.85

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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.