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Finding the Fourth Proportional to 16,582.89, 22,881.74 and 9,507.99

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Solution

The fourth proportional to 16,582.89, 22,881.74 and 9,507.99 is: 13,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.89 : 22,881.74 = 9,507.99 : x
  2. Step 2: Convert to fraction form
    16,582.89/22,881.74 = 9,507.99/x
  3. Step 3: Cross multiply
    16,582.89x = 22,881.74 × 9,507.99
  4. Step 4: Simplify right side
    16,582.89x = 217,559,307.56
  5. Step 5: Solve for x
    x = 217,559,307.56/16,582.89
  6. Step 6: Final answer
    x = 13,119.50

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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.