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Finding the Fourth Proportional to 16,328.59, 22,531.67 and 9,616.32

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Solution

The fourth proportional to 16,328.59, 22,531.67 and 9,616.32 is: 13,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328.59 : 22,531.67 = 9,616.32 : x
  2. Step 2: Convert to fraction form
    16,328.59/22,531.67 = 9,616.32/x
  3. Step 3: Cross multiply
    16,328.59x = 22,531.67 × 9,616.32
  4. Step 4: Simplify right side
    16,328.59x = 216,671,736.83
  5. Step 5: Solve for x
    x = 216,671,736.83/16,328.59
  6. Step 6: Final answer
    x = 13,269.47

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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.