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Finding the Fourth Proportional to 13,354.38, 18,428.95 and 7,385.83

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Solution

The fourth proportional to 13,354.38, 18,428.95 and 7,385.83 is: 10,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.38 : 18,428.95 = 7,385.83 : x
  2. Step 2: Convert to fraction form
    13,354.38/18,428.95 = 7,385.83/x
  3. Step 3: Cross multiply
    13,354.38x = 18,428.95 × 7,385.83
  4. Step 4: Simplify right side
    13,354.38x = 136,113,054.94
  5. Step 5: Solve for x
    x = 136,113,054.94/13,354.38
  6. Step 6: Final answer
    x = 10,192.39

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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.