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Finding the Fourth Proportional to 19,518, 29,246.32 and 15,086.51

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Solution

The fourth proportional to 19,518, 29,246.32 and 15,086.51 is: 22,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,518 : 29,246.32 = 15,086.51 : x
  2. Step 2: Convert to fraction form
    19,518/29,246.32 = 15,086.51/x
  3. Step 3: Cross multiply
    19,518x = 29,246.32 × 15,086.51
  4. Step 4: Simplify right side
    19,518x = 441,224,899.14
  5. Step 5: Solve for x
    x = 441,224,899.14/19,518
  6. Step 6: Final answer
    x = 22,606.05

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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.