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Finding the Fourth Proportional to 10,436.51, 15,732.72 and 9,549.88

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Solution

The fourth proportional to 10,436.51, 15,732.72 and 9,549.88 is: 14,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.51 : 15,732.72 = 9,549.88 : x
  2. Step 2: Convert to fraction form
    10,436.51/15,732.72 = 9,549.88/x
  3. Step 3: Cross multiply
    10,436.51x = 15,732.72 × 9,549.88
  4. Step 4: Simplify right side
    10,436.51x = 150,245,548.74
  5. Step 5: Solve for x
    x = 150,245,548.74/10,436.51
  6. Step 6: Final answer
    x = 14,396.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.