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Finding the Fourth Proportional to 14,234.42, 19,633.62 and 9,758.57

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Solution

The fourth proportional to 14,234.42, 19,633.62 and 9,758.57 is: 13,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.42 : 19,633.62 = 9,758.57 : x
  2. Step 2: Convert to fraction form
    14,234.42/19,633.62 = 9,758.57/x
  3. Step 3: Cross multiply
    14,234.42x = 19,633.62 × 9,758.57
  4. Step 4: Simplify right side
    14,234.42x = 191,596,055.12
  5. Step 5: Solve for x
    x = 191,596,055.12/14,234.42
  6. Step 6: Final answer
    x = 13,460.05

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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.