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Finding the Fourth Proportional to 25,709.40, 38,573.70 and 10,137.88

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Solution

The fourth proportional to 25,709.40, 38,573.70 and 10,137.88 is: 15,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.40 : 38,573.70 = 10,137.88 : x
  2. Step 2: Convert to fraction form
    25,709.40/38,573.70 = 10,137.88/x
  3. Step 3: Cross multiply
    25,709.40x = 38,573.70 × 10,137.88
  4. Step 4: Simplify right side
    25,709.40x = 391,055,541.76
  5. Step 5: Solve for x
    x = 391,055,541.76/25,709.40
  6. Step 6: Final answer
    x = 15,210.61

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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.