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Finding the Fourth Proportional to 14,457.72, 19,945.61 and 9,733.80

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Solution

The fourth proportional to 14,457.72, 19,945.61 and 9,733.80 is: 13,428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.72 : 19,945.61 = 9,733.80 : x
  2. Step 2: Convert to fraction form
    14,457.72/19,945.61 = 9,733.80/x
  3. Step 3: Cross multiply
    14,457.72x = 19,945.61 × 9,733.80
  4. Step 4: Simplify right side
    14,457.72x = 194,146,578.62
  5. Step 5: Solve for x
    x = 194,146,578.62/14,457.72
  6. Step 6: Final answer
    x = 13,428.58

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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.