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Finding the Fourth Proportional to 14,602.94, 21,869.34 and 8,343.98

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Solution

The fourth proportional to 14,602.94, 21,869.34 and 8,343.98 is: 12,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.94 : 21,869.34 = 8,343.98 : x
  2. Step 2: Convert to fraction form
    14,602.94/21,869.34 = 8,343.98/x
  3. Step 3: Cross multiply
    14,602.94x = 21,869.34 × 8,343.98
  4. Step 4: Simplify right side
    14,602.94x = 182,477,335.57
  5. Step 5: Solve for x
    x = 182,477,335.57/14,602.94
  6. Step 6: Final answer
    x = 12,495.93

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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.