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Finding the Fourth Proportional to 22,253.61, 30,709 and 12,182.48

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Solution

The fourth proportional to 22,253.61, 30,709 and 12,182.48 is: 16,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,253.61 : 30,709 = 12,182.48 : x
  2. Step 2: Convert to fraction form
    22,253.61/30,709 = 12,182.48/x
  3. Step 3: Cross multiply
    22,253.61x = 30,709 × 12,182.48
  4. Step 4: Simplify right side
    22,253.61x = 374,111,778.32
  5. Step 5: Solve for x
    x = 374,111,778.32/22,253.61
  6. Step 6: Final answer
    x = 16,811.28

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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.