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Finding the Fourth Proportional to 16,140.05, 22,271.19 and 9,420.81

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Solution

The fourth proportional to 16,140.05, 22,271.19 and 9,420.81 is: 12,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140.05 : 22,271.19 = 9,420.81 : x
  2. Step 2: Convert to fraction form
    16,140.05/22,271.19 = 9,420.81/x
  3. Step 3: Cross multiply
    16,140.05x = 22,271.19 × 9,420.81
  4. Step 4: Simplify right side
    16,140.05x = 209,812,649.46
  5. Step 5: Solve for x
    x = 209,812,649.46/16,140.05
  6. Step 6: Final answer
    x = 12,999.51

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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.