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Finding the Fourth Proportional to 17,434, 24,058.14 and 9,880.21

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Solution

The fourth proportional to 17,434, 24,058.14 and 9,880.21 is: 13,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,434 : 24,058.14 = 9,880.21 : x
  2. Step 2: Convert to fraction form
    17,434/24,058.14 = 9,880.21/x
  3. Step 3: Cross multiply
    17,434x = 24,058.14 × 9,880.21
  4. Step 4: Simplify right side
    17,434x = 237,699,475.41
  5. Step 5: Solve for x
    x = 237,699,475.41/17,434
  6. Step 6: Final answer
    x = 13,634.25

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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.