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Finding the Fourth Proportional to 13,138.16, 19,702.52 and 4,370.72

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Solution

The fourth proportional to 13,138.16, 19,702.52 and 4,370.72 is: 6,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.16 : 19,702.52 = 4,370.72 : x
  2. Step 2: Convert to fraction form
    13,138.16/19,702.52 = 4,370.72/x
  3. Step 3: Cross multiply
    13,138.16x = 19,702.52 × 4,370.72
  4. Step 4: Simplify right side
    13,138.16x = 86,114,198.21
  5. Step 5: Solve for x
    x = 86,114,198.21/13,138.16
  6. Step 6: Final answer
    x = 6,554.51

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