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Finding the Fourth Proportional to 15,304.21, 22,952.53 and 4,210.36

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Solution

The fourth proportional to 15,304.21, 22,952.53 and 4,210.36 is: 6,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,304.21 : 22,952.53 = 4,210.36 : x
  2. Step 2: Convert to fraction form
    15,304.21/22,952.53 = 4,210.36/x
  3. Step 3: Cross multiply
    15,304.21x = 22,952.53 × 4,210.36
  4. Step 4: Simplify right side
    15,304.21x = 96,638,414.21
  5. Step 5: Solve for x
    x = 96,638,414.21/15,304.21
  6. Step 6: Final answer
    x = 6,314.50

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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.