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Finding the Fourth Proportional to 25,340, 34,970.28 and 14,162

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Solution

The fourth proportional to 25,340, 34,970.28 and 14,162 is: 19,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,340 : 34,970.28 = 14,162 : x
  2. Step 2: Convert to fraction form
    25,340/34,970.28 = 14,162/x
  3. Step 3: Cross multiply
    25,340x = 34,970.28 × 14,162
  4. Step 4: Simplify right side
    25,340x = 495,249,105.36
  5. Step 5: Solve for x
    x = 495,249,105.36/25,340
  6. Step 6: Final answer
    x = 19,544.16

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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.