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Finding the Fourth Proportional to 25,673.76, 35,428.52 and 14,341

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Solution

The fourth proportional to 25,673.76, 35,428.52 and 14,341 is: 19,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,673.76 : 35,428.52 = 14,341 : x
  2. Step 2: Convert to fraction form
    25,673.76/35,428.52 = 14,341/x
  3. Step 3: Cross multiply
    25,673.76x = 35,428.52 × 14,341
  4. Step 4: Simplify right side
    25,673.76x = 508,080,405.32
  5. Step 5: Solve for x
    x = 508,080,405.32/25,673.76
  6. Step 6: Final answer
    x = 19,789.87

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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.