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Finding the Fourth Proportional to 16,208.10, 22,366.73 and 9,038.23

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Solution

The fourth proportional to 16,208.10, 22,366.73 and 9,038.23 is: 12,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.10 : 22,366.73 = 9,038.23 : x
  2. Step 2: Convert to fraction form
    16,208.10/22,366.73 = 9,038.23/x
  3. Step 3: Cross multiply
    16,208.10x = 22,366.73 × 9,038.23
  4. Step 4: Simplify right side
    16,208.10x = 202,155,569.05
  5. Step 5: Solve for x
    x = 202,155,569.05/16,208.10
  6. Step 6: Final answer
    x = 12,472.50

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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.