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Finding the Fourth Proportional to 14,370.40, 21,540.82 and 7,782.67

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Solution

The fourth proportional to 14,370.40, 21,540.82 and 7,782.67 is: 11,666.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,370.40 : 21,540.82 = 7,782.67 : x
  2. Step 2: Convert to fraction form
    14,370.40/21,540.82 = 7,782.67/x
  3. Step 3: Cross multiply
    14,370.40x = 21,540.82 × 7,782.67
  4. Step 4: Simplify right side
    14,370.40x = 167,645,093.59
  5. Step 5: Solve for x
    x = 167,645,093.59/14,370.40
  6. Step 6: Final answer
    x = 11,666.00

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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.