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Finding the Fourth Proportional to 17,336.22, 23,923.98 and 9,784.16

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Solution

The fourth proportional to 17,336.22, 23,923.98 and 9,784.16 is: 13,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,336.22 : 23,923.98 = 9,784.16 : x
  2. Step 2: Convert to fraction form
    17,336.22/23,923.98 = 9,784.16/x
  3. Step 3: Cross multiply
    17,336.22x = 23,923.98 × 9,784.16
  4. Step 4: Simplify right side
    17,336.22x = 234,076,048.16
  5. Step 5: Solve for x
    x = 234,076,048.16/17,336.22
  6. Step 6: Final answer
    x = 13,502.14

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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.