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Finding the Fourth Proportional to 14,070.78, 19,418.29 and 7,783.16

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Solution

The fourth proportional to 14,070.78, 19,418.29 and 7,783.16 is: 10,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.78 : 19,418.29 = 7,783.16 : x
  2. Step 2: Convert to fraction form
    14,070.78/19,418.29 = 7,783.16/x
  3. Step 3: Cross multiply
    14,070.78x = 19,418.29 × 7,783.16
  4. Step 4: Simplify right side
    14,070.78x = 151,135,521.99
  5. Step 5: Solve for x
    x = 151,135,521.99/14,070.78
  6. Step 6: Final answer
    x = 10,741.09

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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.