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Finding the Fourth Proportional to 17,509.96, 24,163.74 and 9,552.21

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Solution

The fourth proportional to 17,509.96, 24,163.74 and 9,552.21 is: 13,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.96 : 24,163.74 = 9,552.21 : x
  2. Step 2: Convert to fraction form
    17,509.96/24,163.74 = 9,552.21/x
  3. Step 3: Cross multiply
    17,509.96x = 24,163.74 × 9,552.21
  4. Step 4: Simplify right side
    17,509.96x = 230,817,071.10
  5. Step 5: Solve for x
    x = 230,817,071.10/17,509.96
  6. Step 6: Final answer
    x = 13,182.05

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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.