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Finding the Fourth Proportional to 12,969.40, 17,894.52 and 7,303

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Solution

The fourth proportional to 12,969.40, 17,894.52 and 7,303 is: 10,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.40 : 17,894.52 = 7,303 : x
  2. Step 2: Convert to fraction form
    12,969.40/17,894.52 = 7,303/x
  3. Step 3: Cross multiply
    12,969.40x = 17,894.52 × 7,303
  4. Step 4: Simplify right side
    12,969.40x = 130,683,679.56
  5. Step 5: Solve for x
    x = 130,683,679.56/12,969.40
  6. Step 6: Final answer
    x = 10,076.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.