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Finding the Fourth Proportional to 24,563.61, 33,896.16 and 13,810.14

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Solution

The fourth proportional to 24,563.61, 33,896.16 and 13,810.14 is: 19,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.61 : 33,896.16 = 13,810.14 : x
  2. Step 2: Convert to fraction form
    24,563.61/33,896.16 = 13,810.14/x
  3. Step 3: Cross multiply
    24,563.61x = 33,896.16 × 13,810.14
  4. Step 4: Simplify right side
    24,563.61x = 468,110,715.06
  5. Step 5: Solve for x
    x = 468,110,715.06/24,563.61
  6. Step 6: Final answer
    x = 19,057.08

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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.