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Finding the Fourth Proportional to 24,095.14, 36,114.99 and 9,297.52

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Solution

The fourth proportional to 24,095.14, 36,114.99 and 9,297.52 is: 13,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,095.14 : 36,114.99 = 9,297.52 : x
  2. Step 2: Convert to fraction form
    24,095.14/36,114.99 = 9,297.52/x
  3. Step 3: Cross multiply
    24,095.14x = 36,114.99 × 9,297.52
  4. Step 4: Simplify right side
    24,095.14x = 335,779,841.82
  5. Step 5: Solve for x
    x = 335,779,841.82/24,095.14
  6. Step 6: Final answer
    x = 13,935.58

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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.