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Finding the Fourth Proportional to 27,441.90, 37,870 and 14,866.64

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Solution

The fourth proportional to 27,441.90, 37,870 and 14,866.64 is: 20,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441.90 : 37,870 = 14,866.64 : x
  2. Step 2: Convert to fraction form
    27,441.90/37,870 = 14,866.64/x
  3. Step 3: Cross multiply
    27,441.90x = 37,870 × 14,866.64
  4. Step 4: Simplify right side
    27,441.90x = 562,999,656.80
  5. Step 5: Solve for x
    x = 562,999,656.80/27,441.90
  6. Step 6: Final answer
    x = 20,516.06

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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.