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Finding the Fourth Proportional to 17,276.16, 23,840.64 and 9,723.36

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Solution

The fourth proportional to 17,276.16, 23,840.64 and 9,723.36 is: 13,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,276.16 : 23,840.64 = 9,723.36 : x
  2. Step 2: Convert to fraction form
    17,276.16/23,840.64 = 9,723.36/x
  3. Step 3: Cross multiply
    17,276.16x = 23,840.64 × 9,723.36
  4. Step 4: Simplify right side
    17,276.16x = 231,811,125.35
  5. Step 5: Solve for x
    x = 231,811,125.35/17,276.16
  6. Step 6: Final answer
    x = 13,417.98

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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.