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Finding the Fourth Proportional to 12,713.93, 19,070.91 and 5,314.34

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Solution

The fourth proportional to 12,713.93, 19,070.91 and 5,314.34 is: 7,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.93 : 19,070.91 = 5,314.34 : x
  2. Step 2: Convert to fraction form
    12,713.93/19,070.91 = 5,314.34/x
  3. Step 3: Cross multiply
    12,713.93x = 19,070.91 × 5,314.34
  4. Step 4: Simplify right side
    12,713.93x = 101,349,299.85
  5. Step 5: Solve for x
    x = 101,349,299.85/12,713.93
  6. Step 6: Final answer
    x = 7,971.52

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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.