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Finding the Fourth Proportional to 15,712.96, 23,570.64 and 5,178.88

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Solution

The fourth proportional to 15,712.96, 23,570.64 and 5,178.88 is: 7,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.96 : 23,570.64 = 5,178.88 : x
  2. Step 2: Convert to fraction form
    15,712.96/23,570.64 = 5,178.88/x
  3. Step 3: Cross multiply
    15,712.96x = 23,570.64 × 5,178.88
  4. Step 4: Simplify right side
    15,712.96x = 122,069,516.08
  5. Step 5: Solve for x
    x = 122,069,516.08/15,712.96
  6. Step 6: Final answer
    x = 7,768.72

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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.