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Finding the Fourth Proportional to 25,240.96, 37,838.08 and 9,646.08

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Solution

The fourth proportional to 25,240.96, 37,838.08 and 9,646.08 is: 14,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,240.96 : 37,838.08 = 9,646.08 : x
  2. Step 2: Convert to fraction form
    25,240.96/37,838.08 = 9,646.08/x
  3. Step 3: Cross multiply
    25,240.96x = 37,838.08 × 9,646.08
  4. Step 4: Simplify right side
    25,240.96x = 364,989,146.73
  5. Step 5: Solve for x
    x = 364,989,146.73/25,240.96
  6. Step 6: Final answer
    x = 14,460.19

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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.