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Finding the Fourth Proportional to 13,303.68, 19,848 and 11,975.16

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Solution

The fourth proportional to 13,303.68, 19,848 and 11,975.16 is: 17,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,303.68 : 19,848 = 11,975.16 : x
  2. Step 2: Convert to fraction form
    13,303.68/19,848 = 11,975.16/x
  3. Step 3: Cross multiply
    13,303.68x = 19,848 × 11,975.16
  4. Step 4: Simplify right side
    13,303.68x = 237,682,975.68
  5. Step 5: Solve for x
    x = 237,682,975.68/13,303.68
  6. Step 6: Final answer
    x = 17,865.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.