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Finding the Fourth Proportional to 17,329.92, 25,970.40 and 13,416

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Solution

The fourth proportional to 17,329.92, 25,970.40 and 13,416 is: 20,105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,329.92 : 25,970.40 = 13,416 : x
  2. Step 2: Convert to fraction form
    17,329.92/25,970.40 = 13,416/x
  3. Step 3: Cross multiply
    17,329.92x = 25,970.40 × 13,416
  4. Step 4: Simplify right side
    17,329.92x = 348,418,886.40
  5. Step 5: Solve for x
    x = 348,418,886.40/17,329.92
  6. Step 6: Final answer
    x = 20,105.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.