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Finding the Fourth Proportional to 14,410.71, 21,586.77 and 7,470.63

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Solution

The fourth proportional to 14,410.71, 21,586.77 and 7,470.63 is: 11,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.71 : 21,586.77 = 7,470.63 : x
  2. Step 2: Convert to fraction form
    14,410.71/21,586.77 = 7,470.63/x
  3. Step 3: Cross multiply
    14,410.71x = 21,586.77 × 7,470.63
  4. Step 4: Simplify right side
    14,410.71x = 161,266,771.57
  5. Step 5: Solve for x
    x = 161,266,771.57/14,410.71
  6. Step 6: Final answer
    x = 11,190.76

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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.