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Finding the Fourth Proportional to 15,532.13, 21,434.51 and 8,458.49

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Solution

The fourth proportional to 15,532.13, 21,434.51 and 8,458.49 is: 11,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,532.13 : 21,434.51 = 8,458.49 : x
  2. Step 2: Convert to fraction form
    15,532.13/21,434.51 = 8,458.49/x
  3. Step 3: Cross multiply
    15,532.13x = 21,434.51 × 8,458.49
  4. Step 4: Simplify right side
    15,532.13x = 181,303,588.49
  5. Step 5: Solve for x
    x = 181,303,588.49/15,532.13
  6. Step 6: Final answer
    x = 11,672.81

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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.