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Finding the Fourth Proportional to 12,886.30, 17,783.52 and 7,220.98

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Solution

The fourth proportional to 12,886.30, 17,783.52 and 7,220.98 is: 9,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.30 : 17,783.52 = 7,220.98 : x
  2. Step 2: Convert to fraction form
    12,886.30/17,783.52 = 7,220.98/x
  3. Step 3: Cross multiply
    12,886.30x = 17,783.52 × 7,220.98
  4. Step 4: Simplify right side
    12,886.30x = 128,414,442.25
  5. Step 5: Solve for x
    x = 128,414,442.25/12,886.30
  6. Step 6: Final answer
    x = 9,965.19

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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.