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Finding the Fourth Proportional to 14,434.88, 19,936.53 and 9,710.96

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Solution

The fourth proportional to 14,434.88, 19,936.53 and 9,710.96 is: 13,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.88 : 19,936.53 = 9,710.96 : x
  2. Step 2: Convert to fraction form
    14,434.88/19,936.53 = 9,710.96/x
  3. Step 3: Cross multiply
    14,434.88x = 19,936.53 × 9,710.96
  4. Step 4: Simplify right side
    14,434.88x = 193,602,745.69
  5. Step 5: Solve for x
    x = 193,602,745.69/14,434.88
  6. Step 6: Final answer
    x = 13,412.15

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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.