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Finding the Fourth Proportional to 13,138, 19,702.04 and 4,371.60

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Solution

The fourth proportional to 13,138, 19,702.04 and 4,371.60 is: 6,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138 : 19,702.04 = 4,371.60 : x
  2. Step 2: Convert to fraction form
    13,138/19,702.04 = 4,371.60/x
  3. Step 3: Cross multiply
    13,138x = 19,702.04 × 4,371.60
  4. Step 4: Simplify right side
    13,138x = 86,129,438.06
  5. Step 5: Solve for x
    x = 86,129,438.06/13,138
  6. Step 6: Final answer
    x = 6,555.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.