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Finding the Fourth Proportional to 25,495.40, 38,240.22 and 7,025

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Solution

The fourth proportional to 25,495.40, 38,240.22 and 7,025 is: 10,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,495.40 : 38,240.22 = 7,025 : x
  2. Step 2: Convert to fraction form
    25,495.40/38,240.22 = 7,025/x
  3. Step 3: Cross multiply
    25,495.40x = 38,240.22 × 7,025
  4. Step 4: Simplify right side
    25,495.40x = 268,637,545.50
  5. Step 5: Solve for x
    x = 268,637,545.50/25,495.40
  6. Step 6: Final answer
    x = 10,536.71

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Why These Related Problems?

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