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Finding the Fourth Proportional to 17,730.40, 26,632.08 and 17,140

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Solution

The fourth proportional to 17,730.40, 26,632.08 and 17,140 is: 25,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.40 : 26,632.08 = 17,140 : x
  2. Step 2: Convert to fraction form
    17,730.40/26,632.08 = 17,140/x
  3. Step 3: Cross multiply
    17,730.40x = 26,632.08 × 17,140
  4. Step 4: Simplify right side
    17,730.40x = 456,473,851.20
  5. Step 5: Solve for x
    x = 456,473,851.20/17,730.40
  6. Step 6: Final answer
    x = 25,745.27

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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.