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Finding the Fourth Proportional to 14,784.78, 20,396.58 and 9,742.56

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Solution

The fourth proportional to 14,784.78, 20,396.58 and 9,742.56 is: 13,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.78 : 20,396.58 = 9,742.56 : x
  2. Step 2: Convert to fraction form
    14,784.78/20,396.58 = 9,742.56/x
  3. Step 3: Cross multiply
    14,784.78x = 20,396.58 × 9,742.56
  4. Step 4: Simplify right side
    14,784.78x = 198,714,904.44
  5. Step 5: Solve for x
    x = 198,714,904.44/14,784.78
  6. Step 6: Final answer
    x = 13,440.50

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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.