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Finding the Fourth Proportional to 21,573.84, 32,360.76 and 6,784.05

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Solution

The fourth proportional to 21,573.84, 32,360.76 and 6,784.05 is: 10,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573.84 : 32,360.76 = 6,784.05 : x
  2. Step 2: Convert to fraction form
    21,573.84/32,360.76 = 6,784.05/x
  3. Step 3: Cross multiply
    21,573.84x = 32,360.76 × 6,784.05
  4. Step 4: Simplify right side
    21,573.84x = 219,537,013.88
  5. Step 5: Solve for x
    x = 219,537,013.88/21,573.84
  6. Step 6: Final answer
    x = 10,176.08

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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.