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Finding the Fourth Proportional to 24,094.07, 36,142.93 and 7,455.78

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Solution

The fourth proportional to 24,094.07, 36,142.93 and 7,455.78 is: 11,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,094.07 : 36,142.93 = 7,455.78 : x
  2. Step 2: Convert to fraction form
    24,094.07/36,142.93 = 7,455.78/x
  3. Step 3: Cross multiply
    24,094.07x = 36,142.93 × 7,455.78
  4. Step 4: Simplify right side
    24,094.07x = 269,473,879.49
  5. Step 5: Solve for x
    x = 269,473,879.49/24,094.07
  6. Step 6: Final answer
    x = 11,184.24

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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.