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Finding the Fourth Proportional to 27,705.65, 38,228.76 and 16,376.99

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Solution

The fourth proportional to 27,705.65, 38,228.76 and 16,376.99 is: 22,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.65 : 38,228.76 = 16,376.99 : x
  2. Step 2: Convert to fraction form
    27,705.65/38,228.76 = 16,376.99/x
  3. Step 3: Cross multiply
    27,705.65x = 38,228.76 × 16,376.99
  4. Step 4: Simplify right side
    27,705.65x = 626,071,829.09
  5. Step 5: Solve for x
    x = 626,071,829.09/27,705.65
  6. Step 6: Final answer
    x = 22,597.27

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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.