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Finding the Fourth Proportional to 17,477.80, 24,119.16 and 9,520

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Solution

The fourth proportional to 17,477.80, 24,119.16 and 9,520 is: 13,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,477.80 : 24,119.16 = 9,520 : x
  2. Step 2: Convert to fraction form
    17,477.80/24,119.16 = 9,520/x
  3. Step 3: Cross multiply
    17,477.80x = 24,119.16 × 9,520
  4. Step 4: Simplify right side
    17,477.80x = 229,614,403.20
  5. Step 5: Solve for x
    x = 229,614,403.20/17,477.80
  6. Step 6: Final answer
    x = 13,137.49

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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.