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Finding the Fourth Proportional to 14,189.86, 19,582.51 and 8,815.24

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Solution

The fourth proportional to 14,189.86, 19,582.51 and 8,815.24 is: 12,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.86 : 19,582.51 = 8,815.24 : x
  2. Step 2: Convert to fraction form
    14,189.86/19,582.51 = 8,815.24/x
  3. Step 3: Cross multiply
    14,189.86x = 19,582.51 × 8,815.24
  4. Step 4: Simplify right side
    14,189.86x = 172,624,383.46
  5. Step 5: Solve for x
    x = 172,624,383.46/14,189.86
  6. Step 6: Final answer
    x = 12,165.34

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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.