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Finding the Fourth Proportional to 13,828.78, 19,083.46 and 7,541.16

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Solution

The fourth proportional to 13,828.78, 19,083.46 and 7,541.16 is: 10,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.78 : 19,083.46 = 7,541.16 : x
  2. Step 2: Convert to fraction form
    13,828.78/19,083.46 = 7,541.16/x
  3. Step 3: Cross multiply
    13,828.78x = 19,083.46 × 7,541.16
  4. Step 4: Simplify right side
    13,828.78x = 143,911,425.21
  5. Step 5: Solve for x
    x = 143,911,425.21/13,828.78
  6. Step 6: Final answer
    x = 10,406.66

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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.