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Finding the Fourth Proportional to 16,359.16, 22,574.46 and 10,071.64

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Solution

The fourth proportional to 16,359.16, 22,574.46 and 10,071.64 is: 13,898.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,359.16 : 22,574.46 = 10,071.64 : x
  2. Step 2: Convert to fraction form
    16,359.16/22,574.46 = 10,071.64/x
  3. Step 3: Cross multiply
    16,359.16x = 22,574.46 × 10,071.64
  4. Step 4: Simplify right side
    16,359.16x = 227,361,834.31
  5. Step 5: Solve for x
    x = 227,361,834.31/16,359.16
  6. Step 6: Final answer
    x = 13,898.14

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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.