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Finding the Fourth Proportional to 14,358.12, 19,814.19 and 8,070.49

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Solution

The fourth proportional to 14,358.12, 19,814.19 and 8,070.49 is: 11,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.12 : 19,814.19 = 8,070.49 : x
  2. Step 2: Convert to fraction form
    14,358.12/19,814.19 = 8,070.49/x
  3. Step 3: Cross multiply
    14,358.12x = 19,814.19 × 8,070.49
  4. Step 4: Simplify right side
    14,358.12x = 159,910,222.25
  5. Step 5: Solve for x
    x = 159,910,222.25/14,358.12
  6. Step 6: Final answer
    x = 11,137.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.