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Finding the Fourth Proportional to 15,509.94, 21,403.74 and 8,436.34

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Solution

The fourth proportional to 15,509.94, 21,403.74 and 8,436.34 is: 11,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.94 : 21,403.74 = 8,436.34 : x
  2. Step 2: Convert to fraction form
    15,509.94/21,403.74 = 8,436.34/x
  3. Step 3: Cross multiply
    15,509.94x = 21,403.74 × 8,436.34
  4. Step 4: Simplify right side
    15,509.94x = 180,569,227.91
  5. Step 5: Solve for x
    x = 180,569,227.91/15,509.94
  6. Step 6: Final answer
    x = 11,642.16

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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.