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Finding the Fourth Proportional to 14,402.22, 21,602.61 and 5,638.74

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Solution

The fourth proportional to 14,402.22, 21,602.61 and 5,638.74 is: 8,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.22 : 21,602.61 = 5,638.74 : x
  2. Step 2: Convert to fraction form
    14,402.22/21,602.61 = 5,638.74/x
  3. Step 3: Cross multiply
    14,402.22x = 21,602.61 × 5,638.74
  4. Step 4: Simplify right side
    14,402.22x = 121,811,501.11
  5. Step 5: Solve for x
    x = 121,811,501.11/14,402.22
  6. Step 6: Final answer
    x = 8,457.83

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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.