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Finding the Fourth Proportional to 12,814.16, 19,223.69 and 4,051.58

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Solution

The fourth proportional to 12,814.16, 19,223.69 and 4,051.58 is: 6,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.16 : 19,223.69 = 4,051.58 : x
  2. Step 2: Convert to fraction form
    12,814.16/19,223.69 = 4,051.58/x
  3. Step 3: Cross multiply
    12,814.16x = 19,223.69 × 4,051.58
  4. Step 4: Simplify right side
    12,814.16x = 77,886,201.55
  5. Step 5: Solve for x
    x = 77,886,201.55/12,814.16
  6. Step 6: Final answer
    x = 6,078.14

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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.