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Finding the Fourth Proportional to 19,312.60, 28,969.44 and 6,830.86

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Solution

The fourth proportional to 19,312.60, 28,969.44 and 6,830.86 is: 10,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,312.60 : 28,969.44 = 6,830.86 : x
  2. Step 2: Convert to fraction form
    19,312.60/28,969.44 = 6,830.86/x
  3. Step 3: Cross multiply
    19,312.60x = 28,969.44 × 6,830.86
  4. Step 4: Simplify right side
    19,312.60x = 197,886,188.92
  5. Step 5: Solve for x
    x = 197,886,188.92/19,312.60
  6. Step 6: Final answer
    x = 10,246.48

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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.