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Finding the Fourth Proportional to 23,620.32, 32,594.64 and 13,009.68

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Solution

The fourth proportional to 23,620.32, 32,594.64 and 13,009.68 is: 17,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,620.32 : 32,594.64 = 13,009.68 : x
  2. Step 2: Convert to fraction form
    23,620.32/32,594.64 = 13,009.68/x
  3. Step 3: Cross multiply
    23,620.32x = 32,594.64 × 13,009.68
  4. Step 4: Simplify right side
    23,620.32x = 424,045,836.12
  5. Step 5: Solve for x
    x = 424,045,836.12/23,620.32
  6. Step 6: Final answer
    x = 17,952.59

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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.