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Finding the Fourth Proportional to 23,619.70, 32,594.97 and 13,009.11

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Solution

The fourth proportional to 23,619.70, 32,594.97 and 13,009.11 is: 17,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,619.70 : 32,594.97 = 13,009.11 : x
  2. Step 2: Convert to fraction form
    23,619.70/32,594.97 = 13,009.11/x
  3. Step 3: Cross multiply
    23,619.70x = 32,594.97 × 13,009.11
  4. Step 4: Simplify right side
    23,619.70x = 424,031,550.18
  5. Step 5: Solve for x
    x = 424,031,550.18/23,619.70
  6. Step 6: Final answer
    x = 17,952.45

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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.