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Finding the Fourth Proportional to 22,570.93, 31,145.71 and 13,494.50

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Solution

The fourth proportional to 22,570.93, 31,145.71 and 13,494.50 is: 18,621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,570.93 : 31,145.71 = 13,494.50 : x
  2. Step 2: Convert to fraction form
    22,570.93/31,145.71 = 13,494.50/x
  3. Step 3: Cross multiply
    22,570.93x = 31,145.71 × 13,494.50
  4. Step 4: Simplify right side
    22,570.93x = 420,295,783.60
  5. Step 5: Solve for x
    x = 420,295,783.60/22,570.93
  6. Step 6: Final answer
    x = 18,621.11

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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.