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Finding the Fourth Proportional to 13,025.96, 19,516.86 and 9,309.32

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Solution

The fourth proportional to 13,025.96, 19,516.86 and 9,309.32 is: 13,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.96 : 19,516.86 = 9,309.32 : x
  2. Step 2: Convert to fraction form
    13,025.96/19,516.86 = 9,309.32/x
  3. Step 3: Cross multiply
    13,025.96x = 19,516.86 × 9,309.32
  4. Step 4: Simplify right side
    13,025.96x = 181,688,695.14
  5. Step 5: Solve for x
    x = 181,688,695.14/13,025.96
  6. Step 6: Final answer
    x = 13,948.20

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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.