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Finding the Fourth Proportional to 16,302.75, 22,497.88 and 9,588.66

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Solution

The fourth proportional to 16,302.75, 22,497.88 and 9,588.66 is: 13,232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.75 : 22,497.88 = 9,588.66 : x
  2. Step 2: Convert to fraction form
    16,302.75/22,497.88 = 9,588.66/x
  3. Step 3: Cross multiply
    16,302.75x = 22,497.88 × 9,588.66
  4. Step 4: Simplify right side
    16,302.75x = 215,724,522.04
  5. Step 5: Solve for x
    x = 215,724,522.04/16,302.75
  6. Step 6: Final answer
    x = 13,232.40

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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.