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Finding the Fourth Proportional to 15,509.46, 21,402.81 and 8,435.82

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Solution

The fourth proportional to 15,509.46, 21,402.81 and 8,435.82 is: 11,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.46 : 21,402.81 = 8,435.82 : x
  2. Step 2: Convert to fraction form
    15,509.46/21,402.81 = 8,435.82/x
  3. Step 3: Cross multiply
    15,509.46x = 21,402.81 × 8,435.82
  4. Step 4: Simplify right side
    15,509.46x = 180,550,252.65
  5. Step 5: Solve for x
    x = 180,550,252.65/15,509.46
  6. Step 6: Final answer
    x = 11,641.30

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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.