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Finding the Fourth Proportional to 27,746, 38,288.76 and 16,416.08

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Solution

The fourth proportional to 27,746, 38,288.76 and 16,416.08 is: 22,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746 : 38,288.76 = 16,416.08 : x
  2. Step 2: Convert to fraction form
    27,746/38,288.76 = 16,416.08/x
  3. Step 3: Cross multiply
    27,746x = 38,288.76 × 16,416.08
  4. Step 4: Simplify right side
    27,746x = 628,551,347.26
  5. Step 5: Solve for x
    x = 628,551,347.26/27,746
  6. Step 6: Final answer
    x = 22,653.76

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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.