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Finding the Fourth Proportional to 25,952, 35,813.76 and 14,176

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Solution

The fourth proportional to 25,952, 35,813.76 and 14,176 is: 19,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952 : 35,813.76 = 14,176 : x
  2. Step 2: Convert to fraction form
    25,952/35,813.76 = 14,176/x
  3. Step 3: Cross multiply
    25,952x = 35,813.76 × 14,176
  4. Step 4: Simplify right side
    25,952x = 507,695,861.76
  5. Step 5: Solve for x
    x = 507,695,861.76/25,952
  6. Step 6: Final answer
    x = 19,562.88

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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.