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Finding the Fourth Proportional to 14,302.18, 19,744.86 and 9,771.67

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Solution

The fourth proportional to 14,302.18, 19,744.86 and 9,771.67 is: 13,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.18 : 19,744.86 = 9,771.67 : x
  2. Step 2: Convert to fraction form
    14,302.18/19,744.86 = 9,771.67/x
  3. Step 3: Cross multiply
    14,302.18x = 19,744.86 × 9,771.67
  4. Step 4: Simplify right side
    14,302.18x = 192,940,207.26
  5. Step 5: Solve for x
    x = 192,940,207.26/14,302.18
  6. Step 6: Final answer
    x = 13,490.27

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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.