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Finding the Fourth Proportional to 14,507.12, 20,008.50 and 9,725.49

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Solution

The fourth proportional to 14,507.12, 20,008.50 and 9,725.49 is: 13,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.12 : 20,008.50 = 9,725.49 : x
  2. Step 2: Convert to fraction form
    14,507.12/20,008.50 = 9,725.49/x
  3. Step 3: Cross multiply
    14,507.12x = 20,008.50 × 9,725.49
  4. Step 4: Simplify right side
    14,507.12x = 194,592,466.67
  5. Step 5: Solve for x
    x = 194,592,466.67/14,507.12
  6. Step 6: Final answer
    x = 13,413.59

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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.