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Finding the Fourth Proportional to 12,830.56, 17,699.52 and 11,148.28

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Solution

The fourth proportional to 12,830.56, 17,699.52 and 11,148.28 is: 15,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.56 : 17,699.52 = 11,148.28 : x
  2. Step 2: Convert to fraction form
    12,830.56/17,699.52 = 11,148.28/x
  3. Step 3: Cross multiply
    12,830.56x = 17,699.52 × 11,148.28
  4. Step 4: Simplify right side
    12,830.56x = 197,319,204.83
  5. Step 5: Solve for x
    x = 197,319,204.83/12,830.56
  6. Step 6: Final answer
    x = 15,378.85

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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.