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Finding the Fourth Proportional to 25,243.16, 37,878.57 and 9,459.08

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Solution

The fourth proportional to 25,243.16, 37,878.57 and 9,459.08 is: 14,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,243.16 : 37,878.57 = 9,459.08 : x
  2. Step 2: Convert to fraction form
    25,243.16/37,878.57 = 9,459.08/x
  3. Step 3: Cross multiply
    25,243.16x = 37,878.57 × 9,459.08
  4. Step 4: Simplify right side
    25,243.16x = 358,296,234.52
  5. Step 5: Solve for x
    x = 358,296,234.52/25,243.16
  6. Step 6: Final answer
    x = 14,193.80

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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.