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Finding the Fourth Proportional to 24,384.78, 33,653.74 and 13,775.10

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Solution

The fourth proportional to 24,384.78, 33,653.74 and 13,775.10 is: 19,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.78 : 33,653.74 = 13,775.10 : x
  2. Step 2: Convert to fraction form
    24,384.78/33,653.74 = 13,775.10/x
  3. Step 3: Cross multiply
    24,384.78x = 33,653.74 × 13,775.10
  4. Step 4: Simplify right side
    24,384.78x = 463,583,633.87
  5. Step 5: Solve for x
    x = 463,583,633.87/24,384.78
  6. Step 6: Final answer
    x = 19,011.19

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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.