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Finding the Fourth Proportional to 15,652.68, 23,477.70 and 5,790.12

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Solution

The fourth proportional to 15,652.68, 23,477.70 and 5,790.12 is: 8,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,652.68 : 23,477.70 = 5,790.12 : x
  2. Step 2: Convert to fraction form
    15,652.68/23,477.70 = 5,790.12/x
  3. Step 3: Cross multiply
    15,652.68x = 23,477.70 × 5,790.12
  4. Step 4: Simplify right side
    15,652.68x = 135,938,700.32
  5. Step 5: Solve for x
    x = 135,938,700.32/15,652.68
  6. Step 6: Final answer
    x = 8,684.69

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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.