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Finding the Fourth Proportional to 15,776.16, 23,664.16 and 6,421.24

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Solution

The fourth proportional to 15,776.16, 23,664.16 and 6,421.24 is: 9,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.16 : 23,664.16 = 6,421.24 : x
  2. Step 2: Convert to fraction form
    15,776.16/23,664.16 = 6,421.24/x
  3. Step 3: Cross multiply
    15,776.16x = 23,664.16 × 6,421.24
  4. Step 4: Simplify right side
    15,776.16x = 151,953,250.76
  5. Step 5: Solve for x
    x = 151,953,250.76/15,776.16
  6. Step 6: Final answer
    x = 9,631.83

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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.