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Finding the Fourth Proportional to 15,652.34, 23,478.47 and 3,965.52

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Solution

The fourth proportional to 15,652.34, 23,478.47 and 3,965.52 is: 5,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,652.34 : 23,478.47 = 3,965.52 : x
  2. Step 2: Convert to fraction form
    15,652.34/23,478.47 = 3,965.52/x
  3. Step 3: Cross multiply
    15,652.34x = 23,478.47 × 3,965.52
  4. Step 4: Simplify right side
    15,652.34x = 93,104,322.53
  5. Step 5: Solve for x
    x = 93,104,322.53/15,652.34
  6. Step 6: Final answer
    x = 5,948.27

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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.