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Finding the Fourth Proportional to 13,828.69, 19,083.69 and 7,541.06

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Solution

The fourth proportional to 13,828.69, 19,083.69 and 7,541.06 is: 10,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.69 : 19,083.69 = 7,541.06 : x
  2. Step 2: Convert to fraction form
    13,828.69/19,083.69 = 7,541.06/x
  3. Step 3: Cross multiply
    13,828.69x = 19,083.69 × 7,541.06
  4. Step 4: Simplify right side
    13,828.69x = 143,911,251.31
  5. Step 5: Solve for x
    x = 143,911,251.31/13,828.69
  6. Step 6: Final answer
    x = 10,406.72

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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.