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Finding the Fourth Proportional to 14,443.20, 21,803.40 and 14,297.40

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Solution

The fourth proportional to 14,443.20, 21,803.40 and 14,297.40 is: 21,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.20 : 21,803.40 = 14,297.40 : x
  2. Step 2: Convert to fraction form
    14,443.20/21,803.40 = 14,297.40/x
  3. Step 3: Cross multiply
    14,443.20x = 21,803.40 × 14,297.40
  4. Step 4: Simplify right side
    14,443.20x = 311,731,931.16
  5. Step 5: Solve for x
    x = 311,731,931.16/14,443.20
  6. Step 6: Final answer
    x = 21,583.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.