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Finding the Fourth Proportional to 14,125, 19,492.50 and 7,837.78

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Solution

The fourth proportional to 14,125, 19,492.50 and 7,837.78 is: 10,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125 : 19,492.50 = 7,837.78 : x
  2. Step 2: Convert to fraction form
    14,125/19,492.50 = 7,837.78/x
  3. Step 3: Cross multiply
    14,125x = 19,492.50 × 7,837.78
  4. Step 4: Simplify right side
    14,125x = 152,777,926.65
  5. Step 5: Solve for x
    x = 152,777,926.65/14,125
  6. Step 6: Final answer
    x = 10,816.14

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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.