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Finding the Fourth Proportional to 25,021.71, 37,527.10 and 8,384.11

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Solution

The fourth proportional to 25,021.71, 37,527.10 and 8,384.11 is: 12,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,021.71 : 37,527.10 = 8,384.11 : x
  2. Step 2: Convert to fraction form
    25,021.71/37,527.10 = 8,384.11/x
  3. Step 3: Cross multiply
    25,021.71x = 37,527.10 × 8,384.11
  4. Step 4: Simplify right side
    25,021.71x = 314,631,219.60
  5. Step 5: Solve for x
    x = 314,631,219.60/25,021.71
  6. Step 6: Final answer
    x = 12,574.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.