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Finding the Fourth Proportional to 27,322.88, 37,705.12 and 16,000.16

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Solution

The fourth proportional to 27,322.88, 37,705.12 and 16,000.16 is: 22,079.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,322.88 : 37,705.12 = 16,000.16 : x
  2. Step 2: Convert to fraction form
    27,322.88/37,705.12 = 16,000.16/x
  3. Step 3: Cross multiply
    27,322.88x = 37,705.12 × 16,000.16
  4. Step 4: Simplify right side
    27,322.88x = 603,287,952.82
  5. Step 5: Solve for x
    x = 603,287,952.82/27,322.88
  6. Step 6: Final answer
    x = 22,079.95

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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.