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Finding the Fourth Proportional to 15,886.50, 23,829.75 and 6,652.50

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Solution

The fourth proportional to 15,886.50, 23,829.75 and 6,652.50 is: 9,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.50 : 23,829.75 = 6,652.50 : x
  2. Step 2: Convert to fraction form
    15,886.50/23,829.75 = 6,652.50/x
  3. Step 3: Cross multiply
    15,886.50x = 23,829.75 × 6,652.50
  4. Step 4: Simplify right side
    15,886.50x = 158,527,411.88
  5. Step 5: Solve for x
    x = 158,527,411.88/15,886.50
  6. Step 6: Final answer
    x = 9,978.75

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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.