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Finding the Fourth Proportional to 14,415.34, 21,594.96 and 8,156.41

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Solution

The fourth proportional to 14,415.34, 21,594.96 and 8,156.41 is: 12,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.34 : 21,594.96 = 8,156.41 : x
  2. Step 2: Convert to fraction form
    14,415.34/21,594.96 = 8,156.41/x
  3. Step 3: Cross multiply
    14,415.34x = 21,594.96 × 8,156.41
  4. Step 4: Simplify right side
    14,415.34x = 176,137,347.69
  5. Step 5: Solve for x
    x = 176,137,347.69/14,415.34
  6. Step 6: Final answer
    x = 12,218.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.