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Finding the Fourth Proportional to 12,476.34, 18,718.02 and 3,712.14

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Solution

The fourth proportional to 12,476.34, 18,718.02 and 3,712.14 is: 5,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.34 : 18,718.02 = 3,712.14 : x
  2. Step 2: Convert to fraction form
    12,476.34/18,718.02 = 3,712.14/x
  3. Step 3: Cross multiply
    12,476.34x = 18,718.02 × 3,712.14
  4. Step 4: Simplify right side
    12,476.34x = 69,483,910.76
  5. Step 5: Solve for x
    x = 69,483,910.76/12,476.34
  6. Step 6: Final answer
    x = 5,569.25

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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.