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Finding the Fourth Proportional to 14,782.56, 20,392.32 and 10,002.70

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Solution

The fourth proportional to 14,782.56, 20,392.32 and 10,002.70 is: 13,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.56 : 20,392.32 = 10,002.70 : x
  2. Step 2: Convert to fraction form
    14,782.56/20,392.32 = 10,002.70/x
  3. Step 3: Cross multiply
    14,782.56x = 20,392.32 × 10,002.70
  4. Step 4: Simplify right side
    14,782.56x = 203,978,259.26
  5. Step 5: Solve for x
    x = 203,978,259.26/14,782.56
  6. Step 6: Final answer
    x = 13,798.57

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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.