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Finding the Fourth Proportional to 13,643.83, 20,465.75 and 4,284.67

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Solution

The fourth proportional to 13,643.83, 20,465.75 and 4,284.67 is: 6,427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.83 : 20,465.75 = 4,284.67 : x
  2. Step 2: Convert to fraction form
    13,643.83/20,465.75 = 4,284.67/x
  3. Step 3: Cross multiply
    13,643.83x = 20,465.75 × 4,284.67
  4. Step 4: Simplify right side
    13,643.83x = 87,688,985.05
  5. Step 5: Solve for x
    x = 87,688,985.05/13,643.83
  6. Step 6: Final answer
    x = 6,427.01

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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.