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Finding the Fourth Proportional to 17,773.53, 24,526.24 and 9,815.13

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Solution

The fourth proportional to 17,773.53, 24,526.24 and 9,815.13 is: 13,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,773.53 : 24,526.24 = 9,815.13 : x
  2. Step 2: Convert to fraction form
    17,773.53/24,526.24 = 9,815.13/x
  3. Step 3: Cross multiply
    17,773.53x = 24,526.24 × 9,815.13
  4. Step 4: Simplify right side
    17,773.53x = 240,728,333.66
  5. Step 5: Solve for x
    x = 240,728,333.66/17,773.53
  6. Step 6: Final answer
    x = 13,544.20

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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.