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Finding the Fourth Proportional to 14,688.63, 20,271.53 and 8,402.22

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Solution

The fourth proportional to 14,688.63, 20,271.53 and 8,402.22 is: 11,595.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688.63 : 20,271.53 = 8,402.22 : x
  2. Step 2: Convert to fraction form
    14,688.63/20,271.53 = 8,402.22/x
  3. Step 3: Cross multiply
    14,688.63x = 20,271.53 × 8,402.22
  4. Step 4: Simplify right side
    14,688.63x = 170,325,854.80
  5. Step 5: Solve for x
    x = 170,325,854.80/14,688.63
  6. Step 6: Final answer
    x = 11,595.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.