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Finding the Fourth Proportional to 10,326.42, 15,567.44 and 9,658.26

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Solution

The fourth proportional to 10,326.42, 15,567.44 and 9,658.26 is: 14,560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.42 : 15,567.44 = 9,658.26 : x
  2. Step 2: Convert to fraction form
    10,326.42/15,567.44 = 9,658.26/x
  3. Step 3: Cross multiply
    10,326.42x = 15,567.44 × 9,658.26
  4. Step 4: Simplify right side
    10,326.42x = 150,354,334.76
  5. Step 5: Solve for x
    x = 150,354,334.76/10,326.42
  6. Step 6: Final answer
    x = 14,560.16

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