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Finding the Fourth Proportional to 14,600.94, 21,866.34 and 8,341.98

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Solution

The fourth proportional to 14,600.94, 21,866.34 and 8,341.98 is: 12,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.94 : 21,866.34 = 8,341.98 : x
  2. Step 2: Convert to fraction form
    14,600.94/21,866.34 = 8,341.98/x
  3. Step 3: Cross multiply
    14,600.94x = 21,866.34 × 8,341.98
  4. Step 4: Simplify right side
    14,600.94x = 182,408,570.95
  5. Step 5: Solve for x
    x = 182,408,570.95/14,600.94
  6. Step 6: Final answer
    x = 12,492.93

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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.