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Finding the Fourth Proportional to 14,052.33, 21,085.79 and 10,188.63

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Solution

The fourth proportional to 14,052.33, 21,085.79 and 10,188.63 is: 15,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052.33 : 21,085.79 = 10,188.63 : x
  2. Step 2: Convert to fraction form
    14,052.33/21,085.79 = 10,188.63/x
  3. Step 3: Cross multiply
    14,052.33x = 21,085.79 × 10,188.63
  4. Step 4: Simplify right side
    14,052.33x = 214,835,261.62
  5. Step 5: Solve for x
    x = 214,835,261.62/14,052.33
  6. Step 6: Final answer
    x = 15,288.23

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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.