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Finding the Fourth Proportional to 13,507.32, 20,263.02 and 6,486.01

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Solution

The fourth proportional to 13,507.32, 20,263.02 and 6,486.01 is: 9,729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.32 : 20,263.02 = 6,486.01 : x
  2. Step 2: Convert to fraction form
    13,507.32/20,263.02 = 6,486.01/x
  3. Step 3: Cross multiply
    13,507.32x = 20,263.02 × 6,486.01
  4. Step 4: Simplify right side
    13,507.32x = 131,426,150.35
  5. Step 5: Solve for x
    x = 131,426,150.35/13,507.32
  6. Step 6: Final answer
    x = 9,729.99

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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.