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Finding the Fourth Proportional to 14,056.53, 19,397.25 and 7,768.50

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Solution

The fourth proportional to 14,056.53, 19,397.25 and 7,768.50 is: 10,720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056.53 : 19,397.25 = 7,768.50 : x
  2. Step 2: Convert to fraction form
    14,056.53/19,397.25 = 7,768.50/x
  3. Step 3: Cross multiply
    14,056.53x = 19,397.25 × 7,768.50
  4. Step 4: Simplify right side
    14,056.53x = 150,687,536.63
  5. Step 5: Solve for x
    x = 150,687,536.63/14,056.53
  6. Step 6: Final answer
    x = 10,720.11

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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.