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Finding the Fourth Proportional to 13,539.86, 20,313.11 and 4,655.32

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Solution

The fourth proportional to 13,539.86, 20,313.11 and 4,655.32 is: 6,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.86 : 20,313.11 = 4,655.32 : x
  2. Step 2: Convert to fraction form
    13,539.86/20,313.11 = 4,655.32/x
  3. Step 3: Cross multiply
    13,539.86x = 20,313.11 × 4,655.32
  4. Step 4: Simplify right side
    13,539.86x = 94,563,988.10
  5. Step 5: Solve for x
    x = 94,563,988.10/13,539.86
  6. Step 6: Final answer
    x = 6,984.12

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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.