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Finding the Fourth Proportional to 12,038.56, 16,606.25 and 7,255.24

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Solution

The fourth proportional to 12,038.56, 16,606.25 and 7,255.24 is: 10,008.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.56 : 16,606.25 = 7,255.24 : x
  2. Step 2: Convert to fraction form
    12,038.56/16,606.25 = 7,255.24/x
  3. Step 3: Cross multiply
    12,038.56x = 16,606.25 × 7,255.24
  4. Step 4: Simplify right side
    12,038.56x = 120,482,251.46
  5. Step 5: Solve for x
    x = 120,482,251.46/12,038.56
  6. Step 6: Final answer
    x = 10,008.03

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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.