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Finding the Fourth Proportional to 16,038.52, 22,133.10 and 8,964.94

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Solution

The fourth proportional to 16,038.52, 22,133.10 and 8,964.94 is: 12,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.52 : 22,133.10 = 8,964.94 : x
  2. Step 2: Convert to fraction form
    16,038.52/22,133.10 = 8,964.94/x
  3. Step 3: Cross multiply
    16,038.52x = 22,133.10 × 8,964.94
  4. Step 4: Simplify right side
    16,038.52x = 198,421,913.51
  5. Step 5: Solve for x
    x = 198,421,913.51/16,038.52
  6. Step 6: Final answer
    x = 12,371.59

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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.