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Finding the Fourth Proportional to 17,178, 23,705.48 and 9,726

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Solution

The fourth proportional to 17,178, 23,705.48 and 9,726 is: 13,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,178 : 23,705.48 = 9,726 : x
  2. Step 2: Convert to fraction form
    17,178/23,705.48 = 9,726/x
  3. Step 3: Cross multiply
    17,178x = 23,705.48 × 9,726
  4. Step 4: Simplify right side
    17,178x = 230,559,498.48
  5. Step 5: Solve for x
    x = 230,559,498.48/17,178
  6. Step 6: Final answer
    x = 13,421.79

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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.