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Finding the Fourth Proportional to 19,632.13, 29,457.65 and 9,772.27

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Solution

The fourth proportional to 19,632.13, 29,457.65 and 9,772.27 is: 14,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632.13 : 29,457.65 = 9,772.27 : x
  2. Step 2: Convert to fraction form
    19,632.13/29,457.65 = 9,772.27/x
  3. Step 3: Cross multiply
    19,632.13x = 29,457.65 × 9,772.27
  4. Step 4: Simplify right side
    19,632.13x = 287,867,913.22
  5. Step 5: Solve for x
    x = 287,867,913.22/19,632.13
  6. Step 6: Final answer
    x = 14,663.11

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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.