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Finding the Fourth Proportional to 22,844.32, 31,525.90 and 12,635.50

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Solution

The fourth proportional to 22,844.32, 31,525.90 and 12,635.50 is: 17,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,844.32 : 31,525.90 = 12,635.50 : x
  2. Step 2: Convert to fraction form
    22,844.32/31,525.90 = 12,635.50/x
  3. Step 3: Cross multiply
    22,844.32x = 31,525.90 × 12,635.50
  4. Step 4: Simplify right side
    22,844.32x = 398,345,509.45
  5. Step 5: Solve for x
    x = 398,345,509.45/22,844.32
  6. Step 6: Final answer
    x = 17,437.40

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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.