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Finding the Fourth Proportional to 17,064.80, 23,549.03 and 9,896.00

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Solution

The fourth proportional to 17,064.80, 23,549.03 and 9,896.00 is: 13,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,064.80 : 23,549.03 = 9,896.00 : x
  2. Step 2: Convert to fraction form
    17,064.80/23,549.03 = 9,896.00/x
  3. Step 3: Cross multiply
    17,064.80x = 23,549.03 × 9,896.00
  4. Step 4: Simplify right side
    17,064.80x = 233,041,137.00
  5. Step 5: Solve for x
    x = 233,041,137.00/17,064.80
  6. Step 6: Final answer
    x = 13,656.25

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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.