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Finding the Fourth Proportional to 15,509.72, 21,403.47 and 8,436.18

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Solution

The fourth proportional to 15,509.72, 21,403.47 and 8,436.18 is: 11,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.72 : 21,403.47 = 8,436.18 : x
  2. Step 2: Convert to fraction form
    15,509.72/21,403.47 = 8,436.18/x
  3. Step 3: Cross multiply
    15,509.72x = 21,403.47 × 8,436.18
  4. Step 4: Simplify right side
    15,509.72x = 180,563,525.54
  5. Step 5: Solve for x
    x = 180,563,525.54/15,509.72
  6. Step 6: Final answer
    x = 11,641.96

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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.