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Finding the Fourth Proportional to 14,206.16, 21,304.92 and 4,970

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Solution

The fourth proportional to 14,206.16, 21,304.92 and 4,970 is: 7,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.16 : 21,304.92 = 4,970 : x
  2. Step 2: Convert to fraction form
    14,206.16/21,304.92 = 4,970/x
  3. Step 3: Cross multiply
    14,206.16x = 21,304.92 × 4,970
  4. Step 4: Simplify right side
    14,206.16x = 105,885,452.40
  5. Step 5: Solve for x
    x = 105,885,452.40/14,206.16
  6. Step 6: Final answer
    x = 7,453.49

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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.