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Finding the Fourth Proportional to 14,357.76, 21,536.64 and 6,144

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Solution

The fourth proportional to 14,357.76, 21,536.64 and 6,144 is: 9,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.76 : 21,536.64 = 6,144 : x
  2. Step 2: Convert to fraction form
    14,357.76/21,536.64 = 6,144/x
  3. Step 3: Cross multiply
    14,357.76x = 21,536.64 × 6,144
  4. Step 4: Simplify right side
    14,357.76x = 132,321,116.16
  5. Step 5: Solve for x
    x = 132,321,116.16/14,357.76
  6. Step 6: Final answer
    x = 9,216

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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.