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Finding the Fourth Proportional to 17,077.74, 23,569.02 and 9,525.30

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Solution

The fourth proportional to 17,077.74, 23,569.02 and 9,525.30 is: 13,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.74 : 23,569.02 = 9,525.30 : x
  2. Step 2: Convert to fraction form
    17,077.74/23,569.02 = 9,525.30/x
  3. Step 3: Cross multiply
    17,077.74x = 23,569.02 × 9,525.30
  4. Step 4: Simplify right side
    17,077.74x = 224,501,986.21
  5. Step 5: Solve for x
    x = 224,501,986.21/17,077.74
  6. Step 6: Final answer
    x = 13,145.88

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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.