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Finding the Fourth Proportional to 12,569.30, 17,344.40 and 7,533.44

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Solution

The fourth proportional to 12,569.30, 17,344.40 and 7,533.44 is: 10,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.30 : 17,344.40 = 7,533.44 : x
  2. Step 2: Convert to fraction form
    12,569.30/17,344.40 = 7,533.44/x
  3. Step 3: Cross multiply
    12,569.30x = 17,344.40 × 7,533.44
  4. Step 4: Simplify right side
    12,569.30x = 130,662,996.74
  5. Step 5: Solve for x
    x = 130,662,996.74/12,569.30
  6. Step 6: Final answer
    x = 10,395.41

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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.