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Finding the Fourth Proportional to 12,690.72, 19,026.72 and 4,896

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Solution

The fourth proportional to 12,690.72, 19,026.72 and 4,896 is: 7,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.72 : 19,026.72 = 4,896 : x
  2. Step 2: Convert to fraction form
    12,690.72/19,026.72 = 4,896/x
  3. Step 3: Cross multiply
    12,690.72x = 19,026.72 × 4,896
  4. Step 4: Simplify right side
    12,690.72x = 93,154,821.12
  5. Step 5: Solve for x
    x = 93,154,821.12/12,690.72
  6. Step 6: Final answer
    x = 7,340.39

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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.