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Finding the Fourth Proportional to 27,405.09, 37,815 and 16,070.31

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Solution

The fourth proportional to 27,405.09, 37,815 and 16,070.31 is: 22,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.09 : 37,815 = 16,070.31 : x
  2. Step 2: Convert to fraction form
    27,405.09/37,815 = 16,070.31/x
  3. Step 3: Cross multiply
    27,405.09x = 37,815 × 16,070.31
  4. Step 4: Simplify right side
    27,405.09x = 607,698,772.65
  5. Step 5: Solve for x
    x = 607,698,772.65/27,405.09
  6. Step 6: Final answer
    x = 22,174.67

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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.