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Finding the Fourth Proportional to 17,858.04, 24,643.67 and 9,900.20

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Solution

The fourth proportional to 17,858.04, 24,643.67 and 9,900.20 is: 13,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.04 : 24,643.67 = 9,900.20 : x
  2. Step 2: Convert to fraction form
    17,858.04/24,643.67 = 9,900.20/x
  3. Step 3: Cross multiply
    17,858.04x = 24,643.67 × 9,900.20
  4. Step 4: Simplify right side
    17,858.04x = 243,977,089.01
  5. Step 5: Solve for x
    x = 243,977,089.01/17,858.04
  6. Step 6: Final answer
    x = 13,662.03

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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.