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Finding the Fourth Proportional to 25,332, 34,958.16 and 14,154

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Solution

The fourth proportional to 25,332, 34,958.16 and 14,154 is: 19,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,332 : 34,958.16 = 14,154 : x
  2. Step 2: Convert to fraction form
    25,332/34,958.16 = 14,154/x
  3. Step 3: Cross multiply
    25,332x = 34,958.16 × 14,154
  4. Step 4: Simplify right side
    25,332x = 494,797,796.64
  5. Step 5: Solve for x
    x = 494,797,796.64/25,332
  6. Step 6: Final answer
    x = 19,532.52

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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.