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Finding the Fourth Proportional to 25,574.37, 35,292.52 and 14,244

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Solution

The fourth proportional to 25,574.37, 35,292.52 and 14,244 is: 19,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.37 : 35,292.52 = 14,244 : x
  2. Step 2: Convert to fraction form
    25,574.37/35,292.52 = 14,244/x
  3. Step 3: Cross multiply
    25,574.37x = 35,292.52 × 14,244
  4. Step 4: Simplify right side
    25,574.37x = 502,706,654.88
  5. Step 5: Solve for x
    x = 502,706,654.88/25,574.37
  6. Step 6: Final answer
    x = 19,656.66

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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.