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Finding the Fourth Proportional to 12,808.70, 19,216.65 and 5,416.70

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Solution

The fourth proportional to 12,808.70, 19,216.65 and 5,416.70 is: 8,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.70 : 19,216.65 = 5,416.70 : x
  2. Step 2: Convert to fraction form
    12,808.70/19,216.65 = 5,416.70/x
  3. Step 3: Cross multiply
    12,808.70x = 19,216.65 × 5,416.70
  4. Step 4: Simplify right side
    12,808.70x = 104,090,828.06
  5. Step 5: Solve for x
    x = 104,090,828.06/12,808.70
  6. Step 6: Final answer
    x = 8,126.57

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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.