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Finding the Fourth Proportional to 25,633.60, 38,455.94 and 7,864.24

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Solution

The fourth proportional to 25,633.60, 38,455.94 and 7,864.24 is: 11,798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,633.60 : 38,455.94 = 7,864.24 : x
  2. Step 2: Convert to fraction form
    25,633.60/38,455.94 = 7,864.24/x
  3. Step 3: Cross multiply
    25,633.60x = 38,455.94 × 7,864.24
  4. Step 4: Simplify right side
    25,633.60x = 302,426,741.59
  5. Step 5: Solve for x
    x = 302,426,741.59/25,633.60
  6. Step 6: Final answer
    x = 11,798.06

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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.