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Finding the Fourth Proportional to 14,334.57, 19,785.92 and 9,561.47

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Solution

The fourth proportional to 14,334.57, 19,785.92 and 9,561.47 is: 13,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,334.57 : 19,785.92 = 9,561.47 : x
  2. Step 2: Convert to fraction form
    14,334.57/19,785.92 = 9,561.47/x
  3. Step 3: Cross multiply
    14,334.57x = 19,785.92 × 9,561.47
  4. Step 4: Simplify right side
    14,334.57x = 189,182,333.77
  5. Step 5: Solve for x
    x = 189,182,333.77/14,334.57
  6. Step 6: Final answer
    x = 13,197.63

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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.