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Finding the Fourth Proportional to 15,458.12, 21,332.09 and 8,384.54

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Solution

The fourth proportional to 15,458.12, 21,332.09 and 8,384.54 is: 11,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,458.12 : 21,332.09 = 8,384.54 : x
  2. Step 2: Convert to fraction form
    15,458.12/21,332.09 = 8,384.54/x
  3. Step 3: Cross multiply
    15,458.12x = 21,332.09 × 8,384.54
  4. Step 4: Simplify right side
    15,458.12x = 178,859,836.18
  5. Step 5: Solve for x
    x = 178,859,836.18/15,458.12
  6. Step 6: Final answer
    x = 11,570.61

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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.