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Finding the Fourth Proportional to 13,007.08, 19,506 and 4,684.86

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Solution

The fourth proportional to 13,007.08, 19,506 and 4,684.86 is: 7,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.08 : 19,506 = 4,684.86 : x
  2. Step 2: Convert to fraction form
    13,007.08/19,506 = 4,684.86/x
  3. Step 3: Cross multiply
    13,007.08x = 19,506 × 4,684.86
  4. Step 4: Simplify right side
    13,007.08x = 91,382,879.16
  5. Step 5: Solve for x
    x = 91,382,879.16/13,007.08
  6. Step 6: Final answer
    x = 7,025.63

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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.