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Finding the Fourth Proportional to 23,296.40, 32,149.07 and 12,686.07

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Solution

The fourth proportional to 23,296.40, 32,149.07 and 12,686.07 is: 17,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.40 : 32,149.07 = 12,686.07 : x
  2. Step 2: Convert to fraction form
    23,296.40/32,149.07 = 12,686.07/x
  3. Step 3: Cross multiply
    23,296.40x = 32,149.07 × 12,686.07
  4. Step 4: Simplify right side
    23,296.40x = 407,845,352.45
  5. Step 5: Solve for x
    x = 407,845,352.45/23,296.40
  6. Step 6: Final answer
    x = 17,506.80

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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.