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Finding the Fourth Proportional to 17,478.17, 24,119.94 and 9,520.32

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Solution

The fourth proportional to 17,478.17, 24,119.94 and 9,520.32 is: 13,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.17 : 24,119.94 = 9,520.32 : x
  2. Step 2: Convert to fraction form
    17,478.17/24,119.94 = 9,520.32/x
  3. Step 3: Cross multiply
    17,478.17x = 24,119.94 × 9,520.32
  4. Step 4: Simplify right side
    17,478.17x = 229,629,547.18
  5. Step 5: Solve for x
    x = 229,629,547.18/17,478.17
  6. Step 6: Final answer
    x = 13,138.08

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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.