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Finding the Fourth Proportional to 12,368.86, 18,548.65 and 4,970.80

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Solution

The fourth proportional to 12,368.86, 18,548.65 and 4,970.80 is: 7,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.86 : 18,548.65 = 4,970.80 : x
  2. Step 2: Convert to fraction form
    12,368.86/18,548.65 = 4,970.80/x
  3. Step 3: Cross multiply
    12,368.86x = 18,548.65 × 4,970.80
  4. Step 4: Simplify right side
    12,368.86x = 92,201,589.26
  5. Step 5: Solve for x
    x = 92,201,589.26/12,368.86
  6. Step 6: Final answer
    x = 7,454.33

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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.