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Finding the Fourth Proportional to 12,894.60, 19,341.90 and 7,948.20

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Solution

The fourth proportional to 12,894.60, 19,341.90 and 7,948.20 is: 11,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.60 : 19,341.90 = 7,948.20 : x
  2. Step 2: Convert to fraction form
    12,894.60/19,341.90 = 7,948.20/x
  3. Step 3: Cross multiply
    12,894.60x = 19,341.90 × 7,948.20
  4. Step 4: Simplify right side
    12,894.60x = 153,733,289.58
  5. Step 5: Solve for x
    x = 153,733,289.58/12,894.60
  6. Step 6: Final answer
    x = 11,922.30

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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.