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Finding the Fourth Proportional to 14,212, 21,322.08 and 4,854.16

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Solution

The fourth proportional to 14,212, 21,322.08 and 4,854.16 is: 7,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212 : 21,322.08 = 4,854.16 : x
  2. Step 2: Convert to fraction form
    14,212/21,322.08 = 4,854.16/x
  3. Step 3: Cross multiply
    14,212x = 21,322.08 × 4,854.16
  4. Step 4: Simplify right side
    14,212x = 103,500,787.85
  5. Step 5: Solve for x
    x = 103,500,787.85/14,212
  6. Step 6: Final answer
    x = 7,282.63

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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.