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Finding the Fourth Proportional to 14,125.62, 19,492.38 and 7,837.50

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Solution

The fourth proportional to 14,125.62, 19,492.38 and 7,837.50 is: 10,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.62 : 19,492.38 = 7,837.50 : x
  2. Step 2: Convert to fraction form
    14,125.62/19,492.38 = 7,837.50/x
  3. Step 3: Cross multiply
    14,125.62x = 19,492.38 × 7,837.50
  4. Step 4: Simplify right side
    14,125.62x = 152,771,528.25
  5. Step 5: Solve for x
    x = 152,771,528.25/14,125.62
  6. Step 6: Final answer
    x = 10,815.21

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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.