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Finding the Fourth Proportional to 25,292.34, 37,938.49 and 7,522.93

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Solution

The fourth proportional to 25,292.34, 37,938.49 and 7,522.93 is: 11,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,292.34 : 37,938.49 = 7,522.93 : x
  2. Step 2: Convert to fraction form
    25,292.34/37,938.49 = 7,522.93/x
  3. Step 3: Cross multiply
    25,292.34x = 37,938.49 × 7,522.93
  4. Step 4: Simplify right side
    25,292.34x = 285,408,490.92
  5. Step 5: Solve for x
    x = 285,408,490.92/25,292.34
  6. Step 6: Final answer
    x = 11,284.38

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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.