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Finding the Fourth Proportional to 17,301, 25,969.98 and 7,445.16

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Solution

The fourth proportional to 17,301, 25,969.98 and 7,445.16 is: 11,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,301 : 25,969.98 = 7,445.16 : x
  2. Step 2: Convert to fraction form
    17,301/25,969.98 = 7,445.16/x
  3. Step 3: Cross multiply
    17,301x = 25,969.98 × 7,445.16
  4. Step 4: Simplify right side
    17,301x = 193,350,656.30
  5. Step 5: Solve for x
    x = 193,350,656.30/17,301
  6. Step 6: Final answer
    x = 11,175.69

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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.