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Finding the Fourth Proportional to 22,775.64, 31,430.43 and 12,703.82

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Solution

The fourth proportional to 22,775.64, 31,430.43 and 12,703.82 is: 17,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.64 : 31,430.43 = 12,703.82 : x
  2. Step 2: Convert to fraction form
    22,775.64/31,430.43 = 12,703.82/x
  3. Step 3: Cross multiply
    22,775.64x = 31,430.43 × 12,703.82
  4. Step 4: Simplify right side
    22,775.64x = 399,286,525.24
  5. Step 5: Solve for x
    x = 399,286,525.24/22,775.64
  6. Step 6: Final answer
    x = 17,531.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.