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Finding the Fourth Proportional to 15,782.19, 23,704.80 and 9,869.60

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Solution

The fourth proportional to 15,782.19, 23,704.80 and 9,869.60 is: 14,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.19 : 23,704.80 = 9,869.60 : x
  2. Step 2: Convert to fraction form
    15,782.19/23,704.80 = 9,869.60/x
  3. Step 3: Cross multiply
    15,782.19x = 23,704.80 × 9,869.60
  4. Step 4: Simplify right side
    15,782.19x = 233,956,775.56
  5. Step 5: Solve for x
    x = 233,956,775.56/15,782.19
  6. Step 6: Final answer
    x = 14,824.10

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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.