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Finding the Fourth Proportional to 13,448.86, 20,176.02 and 4,684.46

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Solution

The fourth proportional to 13,448.86, 20,176.02 and 4,684.46 is: 7,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,448.86 : 20,176.02 = 4,684.46 : x
  2. Step 2: Convert to fraction form
    13,448.86/20,176.02 = 4,684.46/x
  3. Step 3: Cross multiply
    13,448.86x = 20,176.02 × 4,684.46
  4. Step 4: Simplify right side
    13,448.86x = 94,513,657.77
  5. Step 5: Solve for x
    x = 94,513,657.77/13,448.86
  6. Step 6: Final answer
    x = 7,027.64

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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.