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Finding the Fourth Proportional to 25,395.76, 38,102.76 and 11,354.60

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Solution

The fourth proportional to 25,395.76, 38,102.76 and 11,354.60 is: 17,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,395.76 : 38,102.76 = 11,354.60 : x
  2. Step 2: Convert to fraction form
    25,395.76/38,102.76 = 11,354.60/x
  3. Step 3: Cross multiply
    25,395.76x = 38,102.76 × 11,354.60
  4. Step 4: Simplify right side
    25,395.76x = 432,641,598.70
  5. Step 5: Solve for x
    x = 432,641,598.70/25,395.76
  6. Step 6: Final answer
    x = 17,035.98

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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.