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Finding the Fourth Proportional to 14,427.68, 21,642.32 and 7,038.44

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Solution

The fourth proportional to 14,427.68, 21,642.32 and 7,038.44 is: 10,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427.68 : 21,642.32 = 7,038.44 : x
  2. Step 2: Convert to fraction form
    14,427.68/21,642.32 = 7,038.44/x
  3. Step 3: Cross multiply
    14,427.68x = 21,642.32 × 7,038.44
  4. Step 4: Simplify right side
    14,427.68x = 152,328,170.78
  5. Step 5: Solve for x
    x = 152,328,170.78/14,427.68
  6. Step 6: Final answer
    x = 10,558.05

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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.