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Finding the Fourth Proportional to 12,967.45, 19,454.63 and 4,648.30

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Solution

The fourth proportional to 12,967.45, 19,454.63 and 4,648.30 is: 6,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.45 : 19,454.63 = 4,648.30 : x
  2. Step 2: Convert to fraction form
    12,967.45/19,454.63 = 4,648.30/x
  3. Step 3: Cross multiply
    12,967.45x = 19,454.63 × 4,648.30
  4. Step 4: Simplify right side
    12,967.45x = 90,430,956.63
  5. Step 5: Solve for x
    x = 90,430,956.63/12,967.45
  6. Step 6: Final answer
    x = 6,973.69

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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.