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Finding the Fourth Proportional to 12,986.19, 19,453.64 and 8,590.32

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Solution

The fourth proportional to 12,986.19, 19,453.64 and 8,590.32 is: 12,868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.19 : 19,453.64 = 8,590.32 : x
  2. Step 2: Convert to fraction form
    12,986.19/19,453.64 = 8,590.32/x
  3. Step 3: Cross multiply
    12,986.19x = 19,453.64 × 8,590.32
  4. Step 4: Simplify right side
    12,986.19x = 167,112,949.81
  5. Step 5: Solve for x
    x = 167,112,949.81/12,986.19
  6. Step 6: Final answer
    x = 12,868.51

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