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Finding the Fourth Proportional to 17,218, 23,763.72 and 9,770.32

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Solution

The fourth proportional to 17,218, 23,763.72 and 9,770.32 is: 13,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,218 : 23,763.72 = 9,770.32 : x
  2. Step 2: Convert to fraction form
    17,218/23,763.72 = 9,770.32/x
  3. Step 3: Cross multiply
    17,218x = 23,763.72 × 9,770.32
  4. Step 4: Simplify right side
    17,218x = 232,179,148.79
  5. Step 5: Solve for x
    x = 232,179,148.79/17,218
  6. Step 6: Final answer
    x = 13,484.68

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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.