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Finding the Fourth Proportional to 10,353.42, 15,455.07 and 9,582.57

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Solution

The fourth proportional to 10,353.42, 15,455.07 and 9,582.57 is: 14,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.42 : 15,455.07 = 9,582.57 : x
  2. Step 2: Convert to fraction form
    10,353.42/15,455.07 = 9,582.57/x
  3. Step 3: Cross multiply
    10,353.42x = 15,455.07 × 9,582.57
  4. Step 4: Simplify right side
    10,353.42x = 148,099,290.13
  5. Step 5: Solve for x
    x = 148,099,290.13/10,353.42
  6. Step 6: Final answer
    x = 14,304.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.