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Finding the Fourth Proportional to 23,193.77, 32,006.63 and 14,241.65

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Solution

The fourth proportional to 23,193.77, 32,006.63 and 14,241.65 is: 19,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.77 : 32,006.63 = 14,241.65 : x
  2. Step 2: Convert to fraction form
    23,193.77/32,006.63 = 14,241.65/x
  3. Step 3: Cross multiply
    23,193.77x = 32,006.63 × 14,241.65
  4. Step 4: Simplify right side
    23,193.77x = 455,827,150.93
  5. Step 5: Solve for x
    x = 455,827,150.93/23,193.77
  6. Step 6: Final answer
    x = 19,653.00

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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.