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Finding the Fourth Proportional to 13,106.36, 19,642.62 and 6,085.64

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Solution

The fourth proportional to 13,106.36, 19,642.62 and 6,085.64 is: 9,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.36 : 19,642.62 = 6,085.64 : x
  2. Step 2: Convert to fraction form
    13,106.36/19,642.62 = 6,085.64/x
  3. Step 3: Cross multiply
    13,106.36x = 19,642.62 × 6,085.64
  4. Step 4: Simplify right side
    13,106.36x = 119,537,913.98
  5. Step 5: Solve for x
    x = 119,537,913.98/13,106.36
  6. Step 6: Final answer
    x = 9,120.60

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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.