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Finding the Fourth Proportional to 13,783.26, 19,021.33 and 7,815.18

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Solution

The fourth proportional to 13,783.26, 19,021.33 and 7,815.18 is: 10,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.26 : 19,021.33 = 7,815.18 : x
  2. Step 2: Convert to fraction form
    13,783.26/19,021.33 = 7,815.18/x
  3. Step 3: Cross multiply
    13,783.26x = 19,021.33 × 7,815.18
  4. Step 4: Simplify right side
    13,783.26x = 148,655,117.79
  5. Step 5: Solve for x
    x = 148,655,117.79/13,783.26
  6. Step 6: Final answer
    x = 10,785.19

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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.