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Finding the Fourth Proportional to 17,152.66, 23,675.64 and 9,984.22

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Solution

The fourth proportional to 17,152.66, 23,675.64 and 9,984.22 is: 13,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,152.66 : 23,675.64 = 9,984.22 : x
  2. Step 2: Convert to fraction form
    17,152.66/23,675.64 = 9,984.22/x
  3. Step 3: Cross multiply
    17,152.66x = 23,675.64 × 9,984.22
  4. Step 4: Simplify right side
    17,152.66x = 236,382,798.40
  5. Step 5: Solve for x
    x = 236,382,798.40/17,152.66
  6. Step 6: Final answer
    x = 13,781.12

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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.