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Finding the Fourth Proportional to 17,697.81, 24,423.15 and 9,740.22

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Solution

The fourth proportional to 17,697.81, 24,423.15 and 9,740.22 is: 13,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.81 : 24,423.15 = 9,740.22 : x
  2. Step 2: Convert to fraction form
    17,697.81/24,423.15 = 9,740.22/x
  3. Step 3: Cross multiply
    17,697.81x = 24,423.15 × 9,740.22
  4. Step 4: Simplify right side
    17,697.81x = 237,886,854.09
  5. Step 5: Solve for x
    x = 237,886,854.09/17,697.81
  6. Step 6: Final answer
    x = 13,441.60

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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.