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Finding the Fourth Proportional to 13,209.89, 19,809.07 and 4,996.13

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Solution

The fourth proportional to 13,209.89, 19,809.07 and 4,996.13 is: 7,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.89 : 19,809.07 = 4,996.13 : x
  2. Step 2: Convert to fraction form
    13,209.89/19,809.07 = 4,996.13/x
  3. Step 3: Cross multiply
    13,209.89x = 19,809.07 × 4,996.13
  4. Step 4: Simplify right side
    13,209.89x = 98,968,577.36
  5. Step 5: Solve for x
    x = 98,968,577.36/13,209.89
  6. Step 6: Final answer
    x = 7,492.01

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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.