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Finding the Fourth Proportional to 17,259.25, 23,817.77 and 9,807.25

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Solution

The fourth proportional to 17,259.25, 23,817.77 and 9,807.25 is: 13,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,259.25 : 23,817.77 = 9,807.25 : x
  2. Step 2: Convert to fraction form
    17,259.25/23,817.77 = 9,807.25/x
  3. Step 3: Cross multiply
    17,259.25x = 23,817.77 × 9,807.25
  4. Step 4: Simplify right side
    17,259.25x = 233,586,824.83
  5. Step 5: Solve for x
    x = 233,586,824.83/17,259.25
  6. Step 6: Final answer
    x = 13,534.01

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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.