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Finding the Fourth Proportional to 15,201.53, 20,972.09 and 10,157.76

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Solution

The fourth proportional to 15,201.53, 20,972.09 and 10,157.76 is: 14,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.53 : 20,972.09 = 10,157.76 : x
  2. Step 2: Convert to fraction form
    15,201.53/20,972.09 = 10,157.76/x
  3. Step 3: Cross multiply
    15,201.53x = 20,972.09 × 10,157.76
  4. Step 4: Simplify right side
    15,201.53x = 213,029,482.31
  5. Step 5: Solve for x
    x = 213,029,482.31/15,201.53
  6. Step 6: Final answer
    x = 14,013.69

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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.