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Finding the Fourth Proportional to 14,124.88, 19,492.28 and 7,837.26

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Solution

The fourth proportional to 14,124.88, 19,492.28 and 7,837.26 is: 10,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.88 : 19,492.28 = 7,837.26 : x
  2. Step 2: Convert to fraction form
    14,124.88/19,492.28 = 7,837.26/x
  3. Step 3: Cross multiply
    14,124.88x = 19,492.28 × 7,837.26
  4. Step 4: Simplify right side
    14,124.88x = 152,766,066.35
  5. Step 5: Solve for x
    x = 152,766,066.35/14,124.88
  6. Step 6: Final answer
    x = 10,815.39

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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.