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Finding the Fourth Proportional to 12,904.57, 19,360.10 and 3,670.57

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Solution

The fourth proportional to 12,904.57, 19,360.10 and 3,670.57 is: 5,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.57 : 19,360.10 = 3,670.57 : x
  2. Step 2: Convert to fraction form
    12,904.57/19,360.10 = 3,670.57/x
  3. Step 3: Cross multiply
    12,904.57x = 19,360.10 × 3,670.57
  4. Step 4: Simplify right side
    12,904.57x = 71,062,602.26
  5. Step 5: Solve for x
    x = 71,062,602.26/12,904.57
  6. Step 6: Final answer
    x = 5,506.78

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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.