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Finding the Fourth Proportional to 22,773.96, 31,428.12 and 12,703.05

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Solution

The fourth proportional to 22,773.96, 31,428.12 and 12,703.05 is: 17,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.96 : 31,428.12 = 12,703.05 : x
  2. Step 2: Convert to fraction form
    22,773.96/31,428.12 = 12,703.05/x
  3. Step 3: Cross multiply
    22,773.96x = 31,428.12 × 12,703.05
  4. Step 4: Simplify right side
    22,773.96x = 399,233,142.13
  5. Step 5: Solve for x
    x = 399,233,142.13/22,773.96
  6. Step 6: Final answer
    x = 17,530.25

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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.