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Finding the Fourth Proportional to 25,275, 34,880.58 and 14,097

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Solution

The fourth proportional to 25,275, 34,880.58 and 14,097 is: 19,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,275 : 34,880.58 = 14,097 : x
  2. Step 2: Convert to fraction form
    25,275/34,880.58 = 14,097/x
  3. Step 3: Cross multiply
    25,275x = 34,880.58 × 14,097
  4. Step 4: Simplify right side
    25,275x = 491,711,536.26
  5. Step 5: Solve for x
    x = 491,711,536.26/25,275
  6. Step 6: Final answer
    x = 19,454.46

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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.