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Finding the Fourth Proportional to 14,415.66, 19,893.47 and 9,114.84

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Solution

The fourth proportional to 14,415.66, 19,893.47 and 9,114.84 is: 12,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.66 : 19,893.47 = 9,114.84 : x
  2. Step 2: Convert to fraction form
    14,415.66/19,893.47 = 9,114.84/x
  3. Step 3: Cross multiply
    14,415.66x = 19,893.47 × 9,114.84
  4. Step 4: Simplify right side
    14,415.66x = 181,325,750.52
  5. Step 5: Solve for x
    x = 181,325,750.52/14,415.66
  6. Step 6: Final answer
    x = 12,578.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.