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Finding the Fourth Proportional to 17,652.16, 26,485.08 and 7,784.47

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Solution

The fourth proportional to 17,652.16, 26,485.08 and 7,784.47 is: 11,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652.16 : 26,485.08 = 7,784.47 : x
  2. Step 2: Convert to fraction form
    17,652.16/26,485.08 = 7,784.47/x
  3. Step 3: Cross multiply
    17,652.16x = 26,485.08 × 7,784.47
  4. Step 4: Simplify right side
    17,652.16x = 206,172,310.71
  5. Step 5: Solve for x
    x = 206,172,310.71/17,652.16
  6. Step 6: Final answer
    x = 11,679.72

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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.