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Finding the Fourth Proportional to 14,592.96, 21,888.96 and 4,205.76

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Solution

The fourth proportional to 14,592.96, 21,888.96 and 4,205.76 is: 6,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,592.96 : 21,888.96 = 4,205.76 : x
  2. Step 2: Convert to fraction form
    14,592.96/21,888.96 = 4,205.76/x
  3. Step 3: Cross multiply
    14,592.96x = 21,888.96 × 4,205.76
  4. Step 4: Simplify right side
    14,592.96x = 92,059,712.41
  5. Step 5: Solve for x
    x = 92,059,712.41/14,592.96
  6. Step 6: Final answer
    x = 6,308.50

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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.