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Finding the Fourth Proportional to 15,509.81, 21,403.64 and 8,436.49

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Solution

The fourth proportional to 15,509.81, 21,403.64 and 8,436.49 is: 11,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.81 : 21,403.64 = 8,436.49 : x
  2. Step 2: Convert to fraction form
    15,509.81/21,403.64 = 8,436.49/x
  3. Step 3: Cross multiply
    15,509.81x = 21,403.64 × 8,436.49
  4. Step 4: Simplify right side
    15,509.81x = 180,571,562.41
  5. Step 5: Solve for x
    x = 180,571,562.41/15,509.81
  6. Step 6: Final answer
    x = 11,642.41

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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.