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Finding the Fourth Proportional to 13,643.48, 18,826.47 and 7,675.02

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Solution

The fourth proportional to 13,643.48, 18,826.47 and 7,675.02 is: 10,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.48 : 18,826.47 = 7,675.02 : x
  2. Step 2: Convert to fraction form
    13,643.48/18,826.47 = 7,675.02/x
  3. Step 3: Cross multiply
    13,643.48x = 18,826.47 × 7,675.02
  4. Step 4: Simplify right side
    13,643.48x = 144,493,533.78
  5. Step 5: Solve for x
    x = 144,493,533.78/13,643.48
  6. Step 6: Final answer
    x = 10,590.67

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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.