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Finding the Fourth Proportional to 17,164.60, 25,746.52 and 4,684.40

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Solution

The fourth proportional to 17,164.60, 25,746.52 and 4,684.40 is: 7,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.60 : 25,746.52 = 4,684.40 : x
  2. Step 2: Convert to fraction form
    17,164.60/25,746.52 = 4,684.40/x
  3. Step 3: Cross multiply
    17,164.60x = 25,746.52 × 4,684.40
  4. Step 4: Simplify right side
    17,164.60x = 120,606,998.29
  5. Step 5: Solve for x
    x = 120,606,998.29/17,164.60
  6. Step 6: Final answer
    x = 7,026.50

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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.