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Finding the Fourth Proportional to 10,378.57, 15,493.95 and 10,014.07

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Solution

The fourth proportional to 10,378.57, 15,493.95 and 10,014.07 is: 14,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.57 : 15,493.95 = 10,014.07 : x
  2. Step 2: Convert to fraction form
    10,378.57/15,493.95 = 10,014.07/x
  3. Step 3: Cross multiply
    10,378.57x = 15,493.95 × 10,014.07
  4. Step 4: Simplify right side
    10,378.57x = 155,157,499.88
  5. Step 5: Solve for x
    x = 155,157,499.88/10,378.57
  6. Step 6: Final answer
    x = 14,949.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.