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Finding the Fourth Proportional to 12,584.02, 17,368.46 and 9,594.51

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Solution

The fourth proportional to 12,584.02, 17,368.46 and 9,594.51 is: 13,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.02 : 17,368.46 = 9,594.51 : x
  2. Step 2: Convert to fraction form
    12,584.02/17,368.46 = 9,594.51/x
  3. Step 3: Cross multiply
    12,584.02x = 17,368.46 × 9,594.51
  4. Step 4: Simplify right side
    12,584.02x = 166,641,863.15
  5. Step 5: Solve for x
    x = 166,641,863.15/12,584.02
  6. Step 6: Final answer
    x = 13,242.34

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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.