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Finding the Fourth Proportional to 25,182, 34,751.16 and 14,004

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Solution

The fourth proportional to 25,182, 34,751.16 and 14,004 is: 19,325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,182 : 34,751.16 = 14,004 : x
  2. Step 2: Convert to fraction form
    25,182/34,751.16 = 14,004/x
  3. Step 3: Cross multiply
    25,182x = 34,751.16 × 14,004
  4. Step 4: Simplify right side
    25,182x = 486,655,244.64
  5. Step 5: Solve for x
    x = 486,655,244.64/25,182
  6. Step 6: Final answer
    x = 19,325.52

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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.