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Finding the Fourth Proportional to 14,124.78, 19,492.32 and 7,837.26

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Solution

The fourth proportional to 14,124.78, 19,492.32 and 7,837.26 is: 10,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.78 : 19,492.32 = 7,837.26 : x
  2. Step 2: Convert to fraction form
    14,124.78/19,492.32 = 7,837.26/x
  3. Step 3: Cross multiply
    14,124.78x = 19,492.32 × 7,837.26
  4. Step 4: Simplify right side
    14,124.78x = 152,766,379.84
  5. Step 5: Solve for x
    x = 152,766,379.84/14,124.78
  6. Step 6: Final answer
    x = 10,815.49

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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.