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Finding the Fourth Proportional to 25,640, 38,398.08 and 12,459.84

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Solution

The fourth proportional to 25,640, 38,398.08 and 12,459.84 is: 18,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,640 : 38,398.08 = 12,459.84 : x
  2. Step 2: Convert to fraction form
    25,640/38,398.08 = 12,459.84/x
  3. Step 3: Cross multiply
    25,640x = 38,398.08 × 12,459.84
  4. Step 4: Simplify right side
    25,640x = 478,433,933.11
  5. Step 5: Solve for x
    x = 478,433,933.11/25,640
  6. Step 6: Final answer
    x = 18,659.67

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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.