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Finding the Fourth Proportional to 23,017.36, 34,527.48 and 9,166

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Solution

The fourth proportional to 23,017.36, 34,527.48 and 9,166 is: 13,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,017.36 : 34,527.48 = 9,166 : x
  2. Step 2: Convert to fraction form
    23,017.36/34,527.48 = 9,166/x
  3. Step 3: Cross multiply
    23,017.36x = 34,527.48 × 9,166
  4. Step 4: Simplify right side
    23,017.36x = 316,478,881.68
  5. Step 5: Solve for x
    x = 316,478,881.68/23,017.36
  6. Step 6: Final answer
    x = 13,749.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.