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Finding the Fourth Proportional to 16,582.02, 22,883.87 and 9,509.81

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Solution

The fourth proportional to 16,582.02, 22,883.87 and 9,509.81 is: 13,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.02 : 22,883.87 = 9,509.81 : x
  2. Step 2: Convert to fraction form
    16,582.02/22,883.87 = 9,509.81/x
  3. Step 3: Cross multiply
    16,582.02x = 22,883.87 × 9,509.81
  4. Step 4: Simplify right side
    16,582.02x = 217,621,111.63
  5. Step 5: Solve for x
    x = 217,621,111.63/16,582.02
  6. Step 6: Final answer
    x = 13,123.92

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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.