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Finding the Fourth Proportional to 13,017.36, 17,964.36 and 7,428

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Solution

The fourth proportional to 13,017.36, 17,964.36 and 7,428 is: 10,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.36 : 17,964.36 = 7,428 : x
  2. Step 2: Convert to fraction form
    13,017.36/17,964.36 = 7,428/x
  3. Step 3: Cross multiply
    13,017.36x = 17,964.36 × 7,428
  4. Step 4: Simplify right side
    13,017.36x = 133,439,266.08
  5. Step 5: Solve for x
    x = 133,439,266.08/13,017.36
  6. Step 6: Final answer
    x = 10,250.87

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Why These Related Problems?

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