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Finding the Fourth Proportional to 17,417.49, 24,034.26 and 9,864.28

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Solution

The fourth proportional to 17,417.49, 24,034.26 and 9,864.28 is: 13,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,417.49 : 24,034.26 = 9,864.28 : x
  2. Step 2: Convert to fraction form
    17,417.49/24,034.26 = 9,864.28/x
  3. Step 3: Cross multiply
    17,417.49x = 24,034.26 × 9,864.28
  4. Step 4: Simplify right side
    17,417.49x = 237,080,670.23
  5. Step 5: Solve for x
    x = 237,080,670.23/17,417.49
  6. Step 6: Final answer
    x = 13,611.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.