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Finding the Fourth Proportional to 17,805.42, 24,570.49 and 9,737.49

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Solution

The fourth proportional to 17,805.42, 24,570.49 and 9,737.49 is: 13,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,805.42 : 24,570.49 = 9,737.49 : x
  2. Step 2: Convert to fraction form
    17,805.42/24,570.49 = 9,737.49/x
  3. Step 3: Cross multiply
    17,805.42x = 24,570.49 × 9,737.49
  4. Step 4: Simplify right side
    17,805.42x = 239,254,900.67
  5. Step 5: Solve for x
    x = 239,254,900.67/17,805.42
  6. Step 6: Final answer
    x = 13,437.20

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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.