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Finding the Fourth Proportional to 17,255.66, 25,878 and 5,566.16

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Solution

The fourth proportional to 17,255.66, 25,878 and 5,566.16 is: 8,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,255.66 : 25,878 = 5,566.16 : x
  2. Step 2: Convert to fraction form
    17,255.66/25,878 = 5,566.16/x
  3. Step 3: Cross multiply
    17,255.66x = 25,878 × 5,566.16
  4. Step 4: Simplify right side
    17,255.66x = 144,041,088.48
  5. Step 5: Solve for x
    x = 144,041,088.48/17,255.66
  6. Step 6: Final answer
    x = 8,347.47

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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.