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Finding the Fourth Proportional to 17,155.24, 23,674.02 and 9,703.24

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Solution

The fourth proportional to 17,155.24, 23,674.02 and 9,703.24 is: 13,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,155.24 : 23,674.02 = 9,703.24 : x
  2. Step 2: Convert to fraction form
    17,155.24/23,674.02 = 9,703.24/x
  3. Step 3: Cross multiply
    17,155.24x = 23,674.02 × 9,703.24
  4. Step 4: Simplify right side
    17,155.24x = 229,714,697.82
  5. Step 5: Solve for x
    x = 229,714,697.82/17,155.24
  6. Step 6: Final answer
    x = 13,390.35

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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.