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Finding the Fourth Proportional to 14,528.40, 21,777 and 5,751.12

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Solution

The fourth proportional to 14,528.40, 21,777 and 5,751.12 is: 8,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,528.40 : 21,777 = 5,751.12 : x
  2. Step 2: Convert to fraction form
    14,528.40/21,777 = 5,751.12/x
  3. Step 3: Cross multiply
    14,528.40x = 21,777 × 5,751.12
  4. Step 4: Simplify right side
    14,528.40x = 125,242,140.24
  5. Step 5: Solve for x
    x = 125,242,140.24/14,528.40
  6. Step 6: Final answer
    x = 8,620.50

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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.