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Finding the Fourth Proportional to 20,328.53, 30,492.75 and 10,470.62

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Solution

The fourth proportional to 20,328.53, 30,492.75 and 10,470.62 is: 15,705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,328.53 : 30,492.75 = 10,470.62 : x
  2. Step 2: Convert to fraction form
    20,328.53/30,492.75 = 10,470.62/x
  3. Step 3: Cross multiply
    20,328.53x = 30,492.75 × 10,470.62
  4. Step 4: Simplify right side
    20,328.53x = 319,278,113.50
  5. Step 5: Solve for x
    x = 319,278,113.50/20,328.53
  6. Step 6: Final answer
    x = 15,705.92

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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.