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Finding the Fourth Proportional to 15,988.54, 23,984.85 and 8,582.84

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Solution

The fourth proportional to 15,988.54, 23,984.85 and 8,582.84 is: 12,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,988.54 : 23,984.85 = 8,582.84 : x
  2. Step 2: Convert to fraction form
    15,988.54/23,984.85 = 8,582.84/x
  3. Step 3: Cross multiply
    15,988.54x = 23,984.85 × 8,582.84
  4. Step 4: Simplify right side
    15,988.54x = 205,858,129.97
  5. Step 5: Solve for x
    x = 205,858,129.97/15,988.54
  6. Step 6: Final answer
    x = 12,875.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.