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Finding the Fourth Proportional to 25,025.61, 37,537.08 and 6,305.64

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Solution

The fourth proportional to 25,025.61, 37,537.08 and 6,305.64 is: 9,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,025.61 : 37,537.08 = 6,305.64 : x
  2. Step 2: Convert to fraction form
    25,025.61/37,537.08 = 6,305.64/x
  3. Step 3: Cross multiply
    25,025.61x = 37,537.08 × 6,305.64
  4. Step 4: Simplify right side
    25,025.61x = 236,695,313.13
  5. Step 5: Solve for x
    x = 236,695,313.13/25,025.61
  6. Step 6: Final answer
    x = 9,458.12

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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.