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Finding the Fourth Proportional to 14,072.90, 19,420 and 7,784.86

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Solution

The fourth proportional to 14,072.90, 19,420 and 7,784.86 is: 10,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.90 : 19,420 = 7,784.86 : x
  2. Step 2: Convert to fraction form
    14,072.90/19,420 = 7,784.86/x
  3. Step 3: Cross multiply
    14,072.90x = 19,420 × 7,784.86
  4. Step 4: Simplify right side
    14,072.90x = 151,181,981.20
  5. Step 5: Solve for x
    x = 151,181,981.20/14,072.90
  6. Step 6: Final answer
    x = 10,742.77

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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.