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Finding the Fourth Proportional to 21,774.68, 32,664 and 7,733.36

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Solution

The fourth proportional to 21,774.68, 32,664 and 7,733.36 is: 11,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.68 : 32,664 = 7,733.36 : x
  2. Step 2: Convert to fraction form
    21,774.68/32,664 = 7,733.36/x
  3. Step 3: Cross multiply
    21,774.68x = 32,664 × 7,733.36
  4. Step 4: Simplify right side
    21,774.68x = 252,602,471.04
  5. Step 5: Solve for x
    x = 252,602,471.04/21,774.68
  6. Step 6: Final answer
    x = 11,600.74

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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.