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Finding the Fourth Proportional to 25,725.96, 38,595.30 and 18,312

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Solution

The fourth proportional to 25,725.96, 38,595.30 and 18,312 is: 27,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,725.96 : 38,595.30 = 18,312 : x
  2. Step 2: Convert to fraction form
    25,725.96/38,595.30 = 18,312/x
  3. Step 3: Cross multiply
    25,725.96x = 38,595.30 × 18,312
  4. Step 4: Simplify right side
    25,725.96x = 706,757,133.60
  5. Step 5: Solve for x
    x = 706,757,133.60/25,725.96
  6. Step 6: Final answer
    x = 27,472.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.