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Finding the Fourth Proportional to 14,528.64, 21,797.56 and 5,758.50

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Solution

The fourth proportional to 14,528.64, 21,797.56 and 5,758.50 is: 8,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,528.64 : 21,797.56 = 5,758.50 : x
  2. Step 2: Convert to fraction form
    14,528.64/21,797.56 = 5,758.50/x
  3. Step 3: Cross multiply
    14,528.64x = 21,797.56 × 5,758.50
  4. Step 4: Simplify right side
    14,528.64x = 125,521,249.26
  5. Step 5: Solve for x
    x = 125,521,249.26/14,528.64
  6. Step 6: Final answer
    x = 8,639.57

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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.