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Finding the Fourth Proportional to 20,505.36, 30,645.67 and 14,970.36

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Solution

The fourth proportional to 20,505.36, 30,645.67 and 14,970.36 is: 22,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.36 : 30,645.67 = 14,970.36 : x
  2. Step 2: Convert to fraction form
    20,505.36/30,645.67 = 14,970.36/x
  3. Step 3: Cross multiply
    20,505.36x = 30,645.67 × 14,970.36
  4. Step 4: Simplify right side
    20,505.36x = 458,776,712.34
  5. Step 5: Solve for x
    x = 458,776,712.34/20,505.36
  6. Step 6: Final answer
    x = 22,373.50

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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.