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Finding the Fourth Proportional to 13,783.61, 19,020.15 and 9,313.36

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Solution

The fourth proportional to 13,783.61, 19,020.15 and 9,313.36 is: 12,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.61 : 19,020.15 = 9,313.36 : x
  2. Step 2: Convert to fraction form
    13,783.61/19,020.15 = 9,313.36/x
  3. Step 3: Cross multiply
    13,783.61x = 19,020.15 × 9,313.36
  4. Step 4: Simplify right side
    13,783.61x = 177,141,456.65
  5. Step 5: Solve for x
    x = 177,141,456.65/13,783.61
  6. Step 6: Final answer
    x = 12,851.60

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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.