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Finding the Fourth Proportional to 16,208.74, 22,368.45 and 9,038.62

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Solution

The fourth proportional to 16,208.74, 22,368.45 and 9,038.62 is: 12,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.74 : 22,368.45 = 9,038.62 : x
  2. Step 2: Convert to fraction form
    16,208.74/22,368.45 = 9,038.62/x
  3. Step 3: Cross multiply
    16,208.74x = 22,368.45 × 9,038.62
  4. Step 4: Simplify right side
    16,208.74x = 202,179,919.54
  5. Step 5: Solve for x
    x = 202,179,919.54/16,208.74
  6. Step 6: Final answer
    x = 12,473.51

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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.