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Finding the Fourth Proportional to 14,532, 21,782.72 and 6,734.40

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Solution

The fourth proportional to 14,532, 21,782.72 and 6,734.40 is: 10,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532 : 21,782.72 = 6,734.40 : x
  2. Step 2: Convert to fraction form
    14,532/21,782.72 = 6,734.40/x
  3. Step 3: Cross multiply
    14,532x = 21,782.72 × 6,734.40
  4. Step 4: Simplify right side
    14,532x = 146,693,549.57
  5. Step 5: Solve for x
    x = 146,693,549.57/14,532
  6. Step 6: Final answer
    x = 10,094.52

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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.