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Finding the Fourth Proportional to 22,453.37, 30,985.86 and 12,382.16

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Solution

The fourth proportional to 22,453.37, 30,985.86 and 12,382.16 is: 17,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,453.37 : 30,985.86 = 12,382.16 : x
  2. Step 2: Convert to fraction form
    22,453.37/30,985.86 = 12,382.16/x
  3. Step 3: Cross multiply
    22,453.37x = 30,985.86 × 12,382.16
  4. Step 4: Simplify right side
    22,453.37x = 383,671,814.35
  5. Step 5: Solve for x
    x = 383,671,814.35/22,453.37
  6. Step 6: Final answer
    x = 17,087.50

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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.