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Finding the Fourth Proportional to 25,114, 37,670.09 and 7,583.38

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Solution

The fourth proportional to 25,114, 37,670.09 and 7,583.38 is: 11,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114 : 37,670.09 = 7,583.38 : x
  2. Step 2: Convert to fraction form
    25,114/37,670.09 = 7,583.38/x
  3. Step 3: Cross multiply
    25,114x = 37,670.09 × 7,583.38
  4. Step 4: Simplify right side
    25,114x = 285,666,607.10
  5. Step 5: Solve for x
    x = 285,666,607.10/25,114
  6. Step 6: Final answer
    x = 11,374.80

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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.