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Finding the Fourth Proportional to 14,125.29, 19,492.70 and 7,837.69

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Solution

The fourth proportional to 14,125.29, 19,492.70 and 7,837.69 is: 10,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.29 : 19,492.70 = 7,837.69 : x
  2. Step 2: Convert to fraction form
    14,125.29/19,492.70 = 7,837.69/x
  3. Step 3: Cross multiply
    14,125.29x = 19,492.70 × 7,837.69
  4. Step 4: Simplify right side
    14,125.29x = 152,777,739.86
  5. Step 5: Solve for x
    x = 152,777,739.86/14,125.29
  6. Step 6: Final answer
    x = 10,815.90

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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.