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Finding the Fourth Proportional to 17,433.81, 24,056.94 and 9,878.64

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Solution

The fourth proportional to 17,433.81, 24,056.94 and 9,878.64 is: 13,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,433.81 : 24,056.94 = 9,878.64 : x
  2. Step 2: Convert to fraction form
    17,433.81/24,056.94 = 9,878.64/x
  3. Step 3: Cross multiply
    17,433.81x = 24,056.94 × 9,878.64
  4. Step 4: Simplify right side
    17,433.81x = 237,649,849.76
  5. Step 5: Solve for x
    x = 237,649,849.76/17,433.81
  6. Step 6: Final answer
    x = 13,631.55

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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.