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Finding the Fourth Proportional to 12,558.56, 17,328.56 and 8,140

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Solution

The fourth proportional to 12,558.56, 17,328.56 and 8,140 is: 11,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,558.56 : 17,328.56 = 8,140 : x
  2. Step 2: Convert to fraction form
    12,558.56/17,328.56 = 8,140/x
  3. Step 3: Cross multiply
    12,558.56x = 17,328.56 × 8,140
  4. Step 4: Simplify right side
    12,558.56x = 141,054,478.40
  5. Step 5: Solve for x
    x = 141,054,478.40/12,558.56
  6. Step 6: Final answer
    x = 11,231.74

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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.