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Finding the Fourth Proportional to 16,193.66, 22,347.30 and 9,389.00

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Solution

The fourth proportional to 16,193.66, 22,347.30 and 9,389.00 is: 12,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.66 : 22,347.30 = 9,389.00 : x
  2. Step 2: Convert to fraction form
    16,193.66/22,347.30 = 9,389.00/x
  3. Step 3: Cross multiply
    16,193.66x = 22,347.30 × 9,389.00
  4. Step 4: Simplify right side
    16,193.66x = 209,818,820.36
  5. Step 5: Solve for x
    x = 209,818,820.36/16,193.66
  6. Step 6: Final answer
    x = 12,956.85

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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.