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Finding the Fourth Proportional to 14,124.69, 19,494.63 and 9,646.79

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Solution

The fourth proportional to 14,124.69, 19,494.63 and 9,646.79 is: 13,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.69 : 19,494.63 = 9,646.79 : x
  2. Step 2: Convert to fraction form
    14,124.69/19,494.63 = 9,646.79/x
  3. Step 3: Cross multiply
    14,124.69x = 19,494.63 × 9,646.79
  4. Step 4: Simplify right side
    14,124.69x = 188,060,504.26
  5. Step 5: Solve for x
    x = 188,060,504.26/14,124.69
  6. Step 6: Final answer
    x = 13,314.31

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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.