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Finding the Fourth Proportional to 17,322.93, 23,905.64 and 9,365.16

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Solution

The fourth proportional to 17,322.93, 23,905.64 and 9,365.16 is: 12,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,322.93 : 23,905.64 = 9,365.16 : x
  2. Step 2: Convert to fraction form
    17,322.93/23,905.64 = 9,365.16/x
  3. Step 3: Cross multiply
    17,322.93x = 23,905.64 × 9,365.16
  4. Step 4: Simplify right side
    17,322.93x = 223,880,077.27
  5. Step 5: Solve for x
    x = 223,880,077.27/17,322.93
  6. Step 6: Final answer
    x = 12,923.91

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1.5x scale

Why These Related Problems?

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