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Finding the Fourth Proportional to 24,370.16, 36,543.72 and 11,218.64

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Solution

The fourth proportional to 24,370.16, 36,543.72 and 11,218.64 is: 16,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,370.16 : 36,543.72 = 11,218.64 : x
  2. Step 2: Convert to fraction form
    24,370.16/36,543.72 = 11,218.64/x
  3. Step 3: Cross multiply
    24,370.16x = 36,543.72 × 11,218.64
  4. Step 4: Simplify right side
    24,370.16x = 409,970,838.94
  5. Step 5: Solve for x
    x = 409,970,838.94/24,370.16
  6. Step 6: Final answer
    x = 16,822.66

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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.