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Finding the Fourth Proportional to 25,380, 38,070 and 9,804.24

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Solution

The fourth proportional to 25,380, 38,070 and 9,804.24 is: 14,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,380 : 38,070 = 9,804.24 : x
  2. Step 2: Convert to fraction form
    25,380/38,070 = 9,804.24/x
  3. Step 3: Cross multiply
    25,380x = 38,070 × 9,804.24
  4. Step 4: Simplify right side
    25,380x = 373,247,416.80
  5. Step 5: Solve for x
    x = 373,247,416.80/25,380
  6. Step 6: Final answer
    x = 14,706.36

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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.