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Finding the Fourth Proportional to 14,462.70, 19,952.64 and 9,425.08

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Solution

The fourth proportional to 14,462.70, 19,952.64 and 9,425.08 is: 13,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.70 : 19,952.64 = 9,425.08 : x
  2. Step 2: Convert to fraction form
    14,462.70/19,952.64 = 9,425.08/x
  3. Step 3: Cross multiply
    14,462.70x = 19,952.64 × 9,425.08
  4. Step 4: Simplify right side
    14,462.70x = 188,055,228.21
  5. Step 5: Solve for x
    x = 188,055,228.21/14,462.70
  6. Step 6: Final answer
    x = 13,002.77

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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.