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Finding the Fourth Proportional to 16,420.28, 22,660.10 and 9,347.14

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Solution

The fourth proportional to 16,420.28, 22,660.10 and 9,347.14 is: 12,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.28 : 22,660.10 = 9,347.14 : x
  2. Step 2: Convert to fraction form
    16,420.28/22,660.10 = 9,347.14/x
  3. Step 3: Cross multiply
    16,420.28x = 22,660.10 × 9,347.14
  4. Step 4: Simplify right side
    16,420.28x = 211,807,127.11
  5. Step 5: Solve for x
    x = 211,807,127.11/16,420.28
  6. Step 6: Final answer
    x = 12,899.12

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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.