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Finding the Fourth Proportional to 17,762.06, 24,513.12 and 9,806.03

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Solution

The fourth proportional to 17,762.06, 24,513.12 and 9,806.03 is: 13,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.06 : 24,513.12 = 9,806.03 : x
  2. Step 2: Convert to fraction form
    17,762.06/24,513.12 = 9,806.03/x
  3. Step 3: Cross multiply
    17,762.06x = 24,513.12 × 9,806.03
  4. Step 4: Simplify right side
    17,762.06x = 240,376,267.55
  5. Step 5: Solve for x
    x = 240,376,267.55/17,762.06
  6. Step 6: Final answer
    x = 13,533.13

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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.