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Finding the Fourth Proportional to 19,096.99, 28,633.93 and 8,565.10

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Solution

The fourth proportional to 19,096.99, 28,633.93 and 8,565.10 is: 12,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,096.99 : 28,633.93 = 8,565.10 : x
  2. Step 2: Convert to fraction form
    19,096.99/28,633.93 = 8,565.10/x
  3. Step 3: Cross multiply
    19,096.99x = 28,633.93 × 8,565.10
  4. Step 4: Simplify right side
    19,096.99x = 245,252,473.84
  5. Step 5: Solve for x
    x = 245,252,473.84/19,096.99
  6. Step 6: Final answer
    x = 12,842.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.