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Finding the Fourth Proportional to 25,605.64, 38,399.52 and 9,814.96

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Solution

The fourth proportional to 25,605.64, 38,399.52 and 9,814.96 is: 14,719.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,605.64 : 38,399.52 = 9,814.96 : x
  2. Step 2: Convert to fraction form
    25,605.64/38,399.52 = 9,814.96/x
  3. Step 3: Cross multiply
    25,605.64x = 38,399.52 × 9,814.96
  4. Step 4: Simplify right side
    25,605.64x = 376,889,752.82
  5. Step 5: Solve for x
    x = 376,889,752.82/25,605.64
  6. Step 6: Final answer
    x = 14,719.01

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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.