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Finding the Fourth Proportional to 12,702.41, 19,053.62 and 5,302.83

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Solution

The fourth proportional to 12,702.41, 19,053.62 and 5,302.83 is: 7,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.41 : 19,053.62 = 5,302.83 : x
  2. Step 2: Convert to fraction form
    12,702.41/19,053.62 = 5,302.83/x
  3. Step 3: Cross multiply
    12,702.41x = 19,053.62 × 5,302.83
  4. Step 4: Simplify right side
    12,702.41x = 101,038,081.23
  5. Step 5: Solve for x
    x = 101,038,081.23/12,702.41
  6. Step 6: Final answer
    x = 7,954.25

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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.