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Finding the Fourth Proportional to 19,964.43, 29,946.65 and 9,430.99

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Solution

The fourth proportional to 19,964.43, 29,946.65 and 9,430.99 is: 14,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,964.43 : 29,946.65 = 9,430.99 : x
  2. Step 2: Convert to fraction form
    19,964.43/29,946.65 = 9,430.99/x
  3. Step 3: Cross multiply
    19,964.43x = 29,946.65 × 9,430.99
  4. Step 4: Simplify right side
    19,964.43x = 282,426,556.68
  5. Step 5: Solve for x
    x = 282,426,556.68/19,964.43
  6. Step 6: Final answer
    x = 14,146.49

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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.