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Finding the Fourth Proportional to 16,145.63, 24,196.52 and 7,809.11

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Solution

The fourth proportional to 16,145.63, 24,196.52 and 7,809.11 is: 11,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.63 : 24,196.52 = 7,809.11 : x
  2. Step 2: Convert to fraction form
    16,145.63/24,196.52 = 7,809.11/x
  3. Step 3: Cross multiply
    16,145.63x = 24,196.52 × 7,809.11
  4. Step 4: Simplify right side
    16,145.63x = 188,953,275.57
  5. Step 5: Solve for x
    x = 188,953,275.57/16,145.63
  6. Step 6: Final answer
    x = 11,703.06

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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.