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Finding the Fourth Proportional to 17,465.34, 24,102.03 and 9,507.54

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Solution

The fourth proportional to 17,465.34, 24,102.03 and 9,507.54 is: 13,120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,465.34 : 24,102.03 = 9,507.54 : x
  2. Step 2: Convert to fraction form
    17,465.34/24,102.03 = 9,507.54/x
  3. Step 3: Cross multiply
    17,465.34x = 24,102.03 × 9,507.54
  4. Step 4: Simplify right side
    17,465.34x = 229,151,014.31
  5. Step 5: Solve for x
    x = 229,151,014.31/17,465.34
  6. Step 6: Final answer
    x = 13,120.33

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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.