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Finding the Fourth Proportional to 23,701.84, 32,708.34 and 12,946.72

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Solution

The fourth proportional to 23,701.84, 32,708.34 and 12,946.72 is: 17,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,701.84 : 32,708.34 = 12,946.72 : x
  2. Step 2: Convert to fraction form
    23,701.84/32,708.34 = 12,946.72/x
  3. Step 3: Cross multiply
    23,701.84x = 32,708.34 × 12,946.72
  4. Step 4: Simplify right side
    23,701.84x = 423,465,719.64
  5. Step 5: Solve for x
    x = 423,465,719.64/23,701.84
  6. Step 6: Final answer
    x = 17,866.36

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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.