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Finding the Fourth Proportional to 21,333.69, 32,004.63 and 9,646.92

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Solution

The fourth proportional to 21,333.69, 32,004.63 and 9,646.92 is: 14,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,333.69 : 32,004.63 = 9,646.92 : x
  2. Step 2: Convert to fraction form
    21,333.69/32,004.63 = 9,646.92/x
  3. Step 3: Cross multiply
    21,333.69x = 32,004.63 × 9,646.92
  4. Step 4: Simplify right side
    21,333.69x = 308,746,105.24
  5. Step 5: Solve for x
    x = 308,746,105.24/21,333.69
  6. Step 6: Final answer
    x = 14,472.23

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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.