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Finding the Fourth Proportional to 22,777.42, 31,435.59 and 13,345.99

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Solution

The fourth proportional to 22,777.42, 31,435.59 and 13,345.99 is: 18,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.42 : 31,435.59 = 13,345.99 : x
  2. Step 2: Convert to fraction form
    22,777.42/31,435.59 = 13,345.99/x
  3. Step 3: Cross multiply
    22,777.42x = 31,435.59 × 13,345.99
  4. Step 4: Simplify right side
    22,777.42x = 419,539,069.78
  5. Step 5: Solve for x
    x = 419,539,069.78/22,777.42
  6. Step 6: Final answer
    x = 18,419.08

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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.