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Finding the Fourth Proportional to 12,810.17, 19,214.24 and 4,045.16

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Solution

The fourth proportional to 12,810.17, 19,214.24 and 4,045.16 is: 6,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.17 : 19,214.24 = 4,045.16 : x
  2. Step 2: Convert to fraction form
    12,810.17/19,214.24 = 4,045.16/x
  3. Step 3: Cross multiply
    12,810.17x = 19,214.24 × 4,045.16
  4. Step 4: Simplify right side
    12,810.17x = 77,724,558.78
  5. Step 5: Solve for x
    x = 77,724,558.78/12,810.17
  6. Step 6: Final answer
    x = 6,067.41

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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.