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Finding the Fourth Proportional to 16,300.30, 22,499.76 and 9,585.60

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Solution

The fourth proportional to 16,300.30, 22,499.76 and 9,585.60 is: 13,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.30 : 22,499.76 = 9,585.60 : x
  2. Step 2: Convert to fraction form
    16,300.30/22,499.76 = 9,585.60/x
  3. Step 3: Cross multiply
    16,300.30x = 22,499.76 × 9,585.60
  4. Step 4: Simplify right side
    16,300.30x = 215,673,699.46
  5. Step 5: Solve for x
    x = 215,673,699.46/16,300.30
  6. Step 6: Final answer
    x = 13,231.27

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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.