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Finding the Fourth Proportional to 14,225.78, 19,635.09 and 8,641.46

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Solution

The fourth proportional to 14,225.78, 19,635.09 and 8,641.46 is: 11,927.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,225.78 : 19,635.09 = 8,641.46 : x
  2. Step 2: Convert to fraction form
    14,225.78/19,635.09 = 8,641.46/x
  3. Step 3: Cross multiply
    14,225.78x = 19,635.09 × 8,641.46
  4. Step 4: Simplify right side
    14,225.78x = 169,675,844.83
  5. Step 5: Solve for x
    x = 169,675,844.83/14,225.78
  6. Step 6: Final answer
    x = 11,927.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.