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Finding the Fourth Proportional to 12,946, 19,419.18 and 3,712

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Solution

The fourth proportional to 12,946, 19,419.18 and 3,712 is: 5,568.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946 : 19,419.18 = 3,712 : x
  2. Step 2: Convert to fraction form
    12,946/19,419.18 = 3,712/x
  3. Step 3: Cross multiply
    12,946x = 19,419.18 × 3,712
  4. Step 4: Simplify right side
    12,946x = 72,083,996.16
  5. Step 5: Solve for x
    x = 72,083,996.16/12,946
  6. Step 6: Final answer
    x = 5,568.05

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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.