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Finding the Fourth Proportional to 13,809.90, 19,059.42 and 10,283.16

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Solution

The fourth proportional to 13,809.90, 19,059.42 and 10,283.16 is: 14,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.90 : 19,059.42 = 10,283.16 : x
  2. Step 2: Convert to fraction form
    13,809.90/19,059.42 = 10,283.16/x
  3. Step 3: Cross multiply
    13,809.90x = 19,059.42 × 10,283.16
  4. Step 4: Simplify right side
    13,809.90x = 195,991,065.37
  5. Step 5: Solve for x
    x = 195,991,065.37/13,809.90
  6. Step 6: Final answer
    x = 14,192.07

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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.