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Finding the Fourth Proportional to 17,741.21, 24,484.07 and 10,289.21

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Solution

The fourth proportional to 17,741.21, 24,484.07 and 10,289.21 is: 14,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.21 : 24,484.07 = 10,289.21 : x
  2. Step 2: Convert to fraction form
    17,741.21/24,484.07 = 10,289.21/x
  3. Step 3: Cross multiply
    17,741.21x = 24,484.07 × 10,289.21
  4. Step 4: Simplify right side
    17,741.21x = 251,921,641.19
  5. Step 5: Solve for x
    x = 251,921,641.19/17,741.21
  6. Step 6: Final answer
    x = 14,199.80

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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.