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Finding the Fourth Proportional to 24,384.16, 36,564.70 and 11,232.64

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Solution

The fourth proportional to 24,384.16, 36,564.70 and 11,232.64 is: 16,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.16 : 36,564.70 = 11,232.64 : x
  2. Step 2: Convert to fraction form
    24,384.16/36,564.70 = 11,232.64/x
  3. Step 3: Cross multiply
    24,384.16x = 36,564.70 × 11,232.64
  4. Step 4: Simplify right side
    24,384.16x = 410,718,111.81
  5. Step 5: Solve for x
    x = 410,718,111.81/24,384.16
  6. Step 6: Final answer
    x = 16,843.64

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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.