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Finding the Fourth Proportional to 13,220.34, 19,818.90 and 8,543.94

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Solution

The fourth proportional to 13,220.34, 19,818.90 and 8,543.94 is: 12,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.34 : 19,818.90 = 8,543.94 : x
  2. Step 2: Convert to fraction form
    13,220.34/19,818.90 = 8,543.94/x
  3. Step 3: Cross multiply
    13,220.34x = 19,818.90 × 8,543.94
  4. Step 4: Simplify right side
    13,220.34x = 169,331,492.47
  5. Step 5: Solve for x
    x = 169,331,492.47/13,220.34
  6. Step 6: Final answer
    x = 12,808.41

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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.