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Finding the Fourth Proportional to 28,225.56, 38,949.38 and 16,289.40

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Solution

The fourth proportional to 28,225.56, 38,949.38 and 16,289.40 is: 22,478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,225.56 : 38,949.38 = 16,289.40 : x
  2. Step 2: Convert to fraction form
    28,225.56/38,949.38 = 16,289.40/x
  3. Step 3: Cross multiply
    28,225.56x = 38,949.38 × 16,289.40
  4. Step 4: Simplify right side
    28,225.56x = 634,462,030.57
  5. Step 5: Solve for x
    x = 634,462,030.57/28,225.56
  6. Step 6: Final answer
    x = 22,478.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.