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Finding the Fourth Proportional to 15,870.87, 21,902.00 and 9,157.89

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Solution

The fourth proportional to 15,870.87, 21,902.00 and 9,157.89 is: 12,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.87 : 21,902.00 = 9,157.89 : x
  2. Step 2: Convert to fraction form
    15,870.87/21,902.00 = 9,157.89/x
  3. Step 3: Cross multiply
    15,870.87x = 21,902.00 × 9,157.89
  4. Step 4: Simplify right side
    15,870.87x = 200,576,143.12
  5. Step 5: Solve for x
    x = 200,576,143.12/15,870.87
  6. Step 6: Final answer
    x = 12,638.01

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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.