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Finding the Fourth Proportional to 24,384.76, 33,651.66 and 13,774.84

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Solution

The fourth proportional to 24,384.76, 33,651.66 and 13,774.84 is: 19,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.76 : 33,651.66 = 13,774.84 : x
  2. Step 2: Convert to fraction form
    24,384.76/33,651.66 = 13,774.84/x
  3. Step 3: Cross multiply
    24,384.76x = 33,651.66 × 13,774.84
  4. Step 4: Simplify right side
    24,384.76x = 463,546,232.23
  5. Step 5: Solve for x
    x = 463,546,232.23/24,384.76
  6. Step 6: Final answer
    x = 19,009.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.