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Finding the Fourth Proportional to 12,702.44, 17,518.55 and 10,045.24

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Solution

The fourth proportional to 12,702.44, 17,518.55 and 10,045.24 is: 13,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.44 : 17,518.55 = 10,045.24 : x
  2. Step 2: Convert to fraction form
    12,702.44/17,518.55 = 10,045.24/x
  3. Step 3: Cross multiply
    12,702.44x = 17,518.55 × 10,045.24
  4. Step 4: Simplify right side
    12,702.44x = 175,977,945.18
  5. Step 5: Solve for x
    x = 175,977,945.18/12,702.44
  6. Step 6: Final answer
    x = 13,853.87

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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.