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Finding the Fourth Proportional to 24,316.16, 36,462.70 and 11,164.64

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Solution

The fourth proportional to 24,316.16, 36,462.70 and 11,164.64 is: 16,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,316.16 : 36,462.70 = 11,164.64 : x
  2. Step 2: Convert to fraction form
    24,316.16/36,462.70 = 11,164.64/x
  3. Step 3: Cross multiply
    24,316.16x = 36,462.70 × 11,164.64
  4. Step 4: Simplify right side
    24,316.16x = 407,092,918.93
  5. Step 5: Solve for x
    x = 407,092,918.93/24,316.16
  6. Step 6: Final answer
    x = 16,741.66

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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.