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Finding the Fourth Proportional to 23,497.79, 32,427.27 and 12,886.72

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Solution

The fourth proportional to 23,497.79, 32,427.27 and 12,886.72 is: 17,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.79 : 32,427.27 = 12,886.72 : x
  2. Step 2: Convert to fraction form
    23,497.79/32,427.27 = 12,886.72/x
  3. Step 3: Cross multiply
    23,497.79x = 32,427.27 × 12,886.72
  4. Step 4: Simplify right side
    23,497.79x = 417,881,067.79
  5. Step 5: Solve for x
    x = 417,881,067.79/23,497.79
  6. Step 6: Final answer
    x = 17,783.85

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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.