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Finding the Fourth Proportional to 13,656.84, 20,485.20 and 7,809.32

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Solution

The fourth proportional to 13,656.84, 20,485.20 and 7,809.32 is: 11,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.84 : 20,485.20 = 7,809.32 : x
  2. Step 2: Convert to fraction form
    13,656.84/20,485.20 = 7,809.32/x
  3. Step 3: Cross multiply
    13,656.84x = 20,485.20 × 7,809.32
  4. Step 4: Simplify right side
    13,656.84x = 159,975,482.06
  5. Step 5: Solve for x
    x = 159,975,482.06/13,656.84
  6. Step 6: Final answer
    x = 11,713.95

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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.