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Finding the Fourth Proportional to 15,709.19, 21,678.71 and 8,635.64

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Solution

The fourth proportional to 15,709.19, 21,678.71 and 8,635.64 is: 11,917.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.19 : 21,678.71 = 8,635.64 : x
  2. Step 2: Convert to fraction form
    15,709.19/21,678.71 = 8,635.64/x
  3. Step 3: Cross multiply
    15,709.19x = 21,678.71 × 8,635.64
  4. Step 4: Simplify right side
    15,709.19x = 187,209,383.65
  5. Step 5: Solve for x
    x = 187,209,383.65/15,709.19
  6. Step 6: Final answer
    x = 11,917.19

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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.