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Finding the Fourth Proportional to 13,020.40, 17,969.25 and 7,356.18

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Solution

The fourth proportional to 13,020.40, 17,969.25 and 7,356.18 is: 10,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.40 : 17,969.25 = 7,356.18 : x
  2. Step 2: Convert to fraction form
    13,020.40/17,969.25 = 7,356.18/x
  3. Step 3: Cross multiply
    13,020.40x = 17,969.25 × 7,356.18
  4. Step 4: Simplify right side
    13,020.40x = 132,185,111.75
  5. Step 5: Solve for x
    x = 132,185,111.75/13,020.40
  6. Step 6: Final answer
    x = 10,152.16

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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.