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Finding the Fourth Proportional to 14,368.50, 21,552.75 and 3,980.25

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Solution

The fourth proportional to 14,368.50, 21,552.75 and 3,980.25 is: 5,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368.50 : 21,552.75 = 3,980.25 : x
  2. Step 2: Convert to fraction form
    14,368.50/21,552.75 = 3,980.25/x
  3. Step 3: Cross multiply
    14,368.50x = 21,552.75 × 3,980.25
  4. Step 4: Simplify right side
    14,368.50x = 85,785,333.19
  5. Step 5: Solve for x
    x = 85,785,333.19/14,368.50
  6. Step 6: Final answer
    x = 5,970.38

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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.