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Finding the Fourth Proportional to 13,412.16, 20,119.62 and 4,647.06

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Solution

The fourth proportional to 13,412.16, 20,119.62 and 4,647.06 is: 6,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.16 : 20,119.62 = 4,647.06 : x
  2. Step 2: Convert to fraction form
    13,412.16/20,119.62 = 4,647.06/x
  3. Step 3: Cross multiply
    13,412.16x = 20,119.62 × 4,647.06
  4. Step 4: Simplify right side
    13,412.16x = 93,497,081.32
  5. Step 5: Solve for x
    x = 93,497,081.32/13,412.16
  6. Step 6: Final answer
    x = 6,971.07

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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.