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Finding the Fourth Proportional to 25,098, 37,653.48 and 7,328.22

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Solution

The fourth proportional to 25,098, 37,653.48 and 7,328.22 is: 10,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098 : 37,653.48 = 7,328.22 : x
  2. Step 2: Convert to fraction form
    25,098/37,653.48 = 7,328.22/x
  3. Step 3: Cross multiply
    25,098x = 37,653.48 × 7,328.22
  4. Step 4: Simplify right side
    25,098x = 275,932,985.21
  5. Step 5: Solve for x
    x = 275,932,985.21/25,098
  6. Step 6: Final answer
    x = 10,994.22

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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.