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Finding the Fourth Proportional to 14,125.38, 19,492.34 and 7,751.82

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Solution

The fourth proportional to 14,125.38, 19,492.34 and 7,751.82 is: 10,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.38 : 19,492.34 = 7,751.82 : x
  2. Step 2: Convert to fraction form
    14,125.38/19,492.34 = 7,751.82/x
  3. Step 3: Cross multiply
    14,125.38x = 19,492.34 × 7,751.82
  4. Step 4: Simplify right side
    14,125.38x = 151,101,111.06
  5. Step 5: Solve for x
    x = 151,101,111.06/14,125.38
  6. Step 6: Final answer
    x = 10,697.14

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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.