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Finding the Fourth Proportional to 12,762.04, 17,620.32 and 10,409.80

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Solution

The fourth proportional to 12,762.04, 17,620.32 and 10,409.80 is: 14,372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.04 : 17,620.32 = 10,409.80 : x
  2. Step 2: Convert to fraction form
    12,762.04/17,620.32 = 10,409.80/x
  3. Step 3: Cross multiply
    12,762.04x = 17,620.32 × 10,409.80
  4. Step 4: Simplify right side
    12,762.04x = 183,424,007.14
  5. Step 5: Solve for x
    x = 183,424,007.14/12,762.04
  6. Step 6: Final answer
    x = 14,372.62

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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.