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Finding the Fourth Proportional to 14,233.92, 19,632.93 and 9,758.07

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Solution

The fourth proportional to 14,233.92, 19,632.93 and 9,758.07 is: 13,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.92 : 19,632.93 = 9,758.07 : x
  2. Step 2: Convert to fraction form
    14,233.92/19,632.93 = 9,758.07/x
  3. Step 3: Cross multiply
    14,233.92x = 19,632.93 × 9,758.07
  4. Step 4: Simplify right side
    14,233.92x = 191,579,505.25
  5. Step 5: Solve for x
    x = 191,579,505.25/14,233.92
  6. Step 6: Final answer
    x = 13,459.36

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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.