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Finding the Fourth Proportional to 25,903.26, 38,857.05 and 9,262.62

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Solution

The fourth proportional to 25,903.26, 38,857.05 and 9,262.62 is: 13,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,903.26 : 38,857.05 = 9,262.62 : x
  2. Step 2: Convert to fraction form
    25,903.26/38,857.05 = 9,262.62/x
  3. Step 3: Cross multiply
    25,903.26x = 38,857.05 × 9,262.62
  4. Step 4: Simplify right side
    25,903.26x = 359,918,088.47
  5. Step 5: Solve for x
    x = 359,918,088.47/25,903.26
  6. Step 6: Final answer
    x = 13,894.70

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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.