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Finding the Fourth Proportional to 14,513.92, 21,770.85 and 9,582.40

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Solution

The fourth proportional to 14,513.92, 21,770.85 and 9,582.40 is: 14,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.92 : 21,770.85 = 9,582.40 : x
  2. Step 2: Convert to fraction form
    14,513.92/21,770.85 = 9,582.40/x
  3. Step 3: Cross multiply
    14,513.92x = 21,770.85 × 9,582.40
  4. Step 4: Simplify right side
    14,513.92x = 208,616,993.04
  5. Step 5: Solve for x
    x = 208,616,993.04/14,513.92
  6. Step 6: Final answer
    x = 14,373.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.