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Finding the Fourth Proportional to 17,763.02, 24,511.50 and 9,804.14

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Solution

The fourth proportional to 17,763.02, 24,511.50 and 9,804.14 is: 13,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.02 : 24,511.50 = 9,804.14 : x
  2. Step 2: Convert to fraction form
    17,763.02/24,511.50 = 9,804.14/x
  3. Step 3: Cross multiply
    17,763.02x = 24,511.50 × 9,804.14
  4. Step 4: Simplify right side
    17,763.02x = 240,314,177.61
  5. Step 5: Solve for x
    x = 240,314,177.61/17,763.02
  6. Step 6: Final answer
    x = 13,528.90

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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.