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Finding the Fourth Proportional to 25,817.67, 38,726.03 and 7,097.63

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Solution

The fourth proportional to 25,817.67, 38,726.03 and 7,097.63 is: 10,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,817.67 : 38,726.03 = 7,097.63 : x
  2. Step 2: Convert to fraction form
    25,817.67/38,726.03 = 7,097.63/x
  3. Step 3: Cross multiply
    25,817.67x = 38,726.03 × 7,097.63
  4. Step 4: Simplify right side
    25,817.67x = 274,862,803.19
  5. Step 5: Solve for x
    x = 274,862,803.19/25,817.67
  6. Step 6: Final answer
    x = 10,646.31

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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.