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Finding the Fourth Proportional to 14,159.37, 19,540.23 and 7,785.90

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Solution

The fourth proportional to 14,159.37, 19,540.23 and 7,785.90 is: 10,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.37 : 19,540.23 = 7,785.90 : x
  2. Step 2: Convert to fraction form
    14,159.37/19,540.23 = 7,785.90/x
  3. Step 3: Cross multiply
    14,159.37x = 19,540.23 × 7,785.90
  4. Step 4: Simplify right side
    14,159.37x = 152,138,276.76
  5. Step 5: Solve for x
    x = 152,138,276.76/14,159.37
  6. Step 6: Final answer
    x = 10,744.71

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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.