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Finding the Fourth Proportional to 24,035.78, 36,054.95 and 7,407.23

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Solution

The fourth proportional to 24,035.78, 36,054.95 and 7,407.23 is: 11,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,035.78 : 36,054.95 = 7,407.23 : x
  2. Step 2: Convert to fraction form
    24,035.78/36,054.95 = 7,407.23/x
  3. Step 3: Cross multiply
    24,035.78x = 36,054.95 × 7,407.23
  4. Step 4: Simplify right side
    24,035.78x = 267,067,089.98
  5. Step 5: Solve for x
    x = 267,067,089.98/24,035.78
  6. Step 6: Final answer
    x = 11,111.23

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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.