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Finding the Fourth Proportional to 13,509.16, 18,642.57 and 7,845.30

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Solution

The fourth proportional to 13,509.16, 18,642.57 and 7,845.30 is: 10,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.16 : 18,642.57 = 7,845.30 : x
  2. Step 2: Convert to fraction form
    13,509.16/18,642.57 = 7,845.30/x
  3. Step 3: Cross multiply
    13,509.16x = 18,642.57 × 7,845.30
  4. Step 4: Simplify right side
    13,509.16x = 146,256,511.50
  5. Step 5: Solve for x
    x = 146,256,511.50/13,509.16
  6. Step 6: Final answer
    x = 10,826.47

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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.