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Finding the Fourth Proportional to 12,712.60, 19,014.90 and 11,405.80

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Solution

The fourth proportional to 12,712.60, 19,014.90 and 11,405.80 is: 17,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.60 : 19,014.90 = 11,405.80 : x
  2. Step 2: Convert to fraction form
    12,712.60/19,014.90 = 11,405.80/x
  3. Step 3: Cross multiply
    12,712.60x = 19,014.90 × 11,405.80
  4. Step 4: Simplify right side
    12,712.60x = 216,880,146.42
  5. Step 5: Solve for x
    x = 216,880,146.42/12,712.60
  6. Step 6: Final answer
    x = 17,060.25

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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.