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Finding the Fourth Proportional to 14,021.02, 19,348.50 and 7,733.26

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Solution

The fourth proportional to 14,021.02, 19,348.50 and 7,733.26 is: 10,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.02 : 19,348.50 = 7,733.26 : x
  2. Step 2: Convert to fraction form
    14,021.02/19,348.50 = 7,733.26/x
  3. Step 3: Cross multiply
    14,021.02x = 19,348.50 × 7,733.26
  4. Step 4: Simplify right side
    14,021.02x = 149,626,981.11
  5. Step 5: Solve for x
    x = 149,626,981.11/14,021.02
  6. Step 6: Final answer
    x = 10,671.62

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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.