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Finding the Fourth Proportional to 23,296.51, 32,149.76 and 12,686.72

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Solution

The fourth proportional to 23,296.51, 32,149.76 and 12,686.72 is: 17,507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.51 : 32,149.76 = 12,686.72 : x
  2. Step 2: Convert to fraction form
    23,296.51/32,149.76 = 12,686.72/x
  3. Step 3: Cross multiply
    23,296.51x = 32,149.76 × 12,686.72
  4. Step 4: Simplify right side
    23,296.51x = 407,875,003.19
  5. Step 5: Solve for x
    x = 407,875,003.19/23,296.51
  6. Step 6: Final answer
    x = 17,507.99

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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.