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Finding the Fourth Proportional to 23,538.84, 32,484.16 and 12,928.70

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Solution

The fourth proportional to 23,538.84, 32,484.16 and 12,928.70 is: 17,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.84 : 32,484.16 = 12,928.70 : x
  2. Step 2: Convert to fraction form
    23,538.84/32,484.16 = 12,928.70/x
  3. Step 3: Cross multiply
    23,538.84x = 32,484.16 × 12,928.70
  4. Step 4: Simplify right side
    23,538.84x = 419,977,959.39
  5. Step 5: Solve for x
    x = 419,977,959.39/23,538.84
  6. Step 6: Final answer
    x = 17,841.91

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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.