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Finding the Fourth Proportional to 15,669, 23,505.12 and 6,312.24

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Solution

The fourth proportional to 15,669, 23,505.12 and 6,312.24 is: 9,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,669 : 23,505.12 = 6,312.24 : x
  2. Step 2: Convert to fraction form
    15,669/23,505.12 = 6,312.24/x
  3. Step 3: Cross multiply
    15,669x = 23,505.12 × 6,312.24
  4. Step 4: Simplify right side
    15,669x = 148,369,958.67
  5. Step 5: Solve for x
    x = 148,369,958.67/15,669
  6. Step 6: Final answer
    x = 9,469.01

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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.