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Finding the Fourth Proportional to 24,266.54, 36,384.73 and 10,219.33

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Solution

The fourth proportional to 24,266.54, 36,384.73 and 10,219.33 is: 15,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,266.54 : 36,384.73 = 10,219.33 : x
  2. Step 2: Convert to fraction form
    24,266.54/36,384.73 = 10,219.33/x
  3. Step 3: Cross multiply
    24,266.54x = 36,384.73 × 10,219.33
  4. Step 4: Simplify right side
    24,266.54x = 371,827,582.76
  5. Step 5: Solve for x
    x = 371,827,582.76/24,266.54
  6. Step 6: Final answer
    x = 15,322.65

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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.