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Finding the Fourth Proportional to 12,918.36, 17,830.02 and 7,615

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Solution

The fourth proportional to 12,918.36, 17,830.02 and 7,615 is: 10,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,918.36 : 17,830.02 = 7,615 : x
  2. Step 2: Convert to fraction form
    12,918.36/17,830.02 = 7,615/x
  3. Step 3: Cross multiply
    12,918.36x = 17,830.02 × 7,615
  4. Step 4: Simplify right side
    12,918.36x = 135,775,602.30
  5. Step 5: Solve for x
    x = 135,775,602.30/12,918.36
  6. Step 6: Final answer
    x = 10,510.28

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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.