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Finding the Fourth Proportional to 12,971.16, 19,455.42 and 4,650.84

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Solution

The fourth proportional to 12,971.16, 19,455.42 and 4,650.84 is: 6,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.16 : 19,455.42 = 4,650.84 : x
  2. Step 2: Convert to fraction form
    12,971.16/19,455.42 = 4,650.84/x
  3. Step 3: Cross multiply
    12,971.16x = 19,455.42 × 4,650.84
  4. Step 4: Simplify right side
    12,971.16x = 90,484,045.55
  5. Step 5: Solve for x
    x = 90,484,045.55/12,971.16
  6. Step 6: Final answer
    x = 6,975.79

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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.