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Finding the Fourth Proportional to 15,599.96, 23,373.54 and 9,431

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Solution

The fourth proportional to 15,599.96, 23,373.54 and 9,431 is: 14,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,599.96 : 23,373.54 = 9,431 : x
  2. Step 2: Convert to fraction form
    15,599.96/23,373.54 = 9,431/x
  3. Step 3: Cross multiply
    15,599.96x = 23,373.54 × 9,431
  4. Step 4: Simplify right side
    15,599.96x = 220,435,855.74
  5. Step 5: Solve for x
    x = 220,435,855.74/15,599.96
  6. Step 6: Final answer
    x = 14,130.54

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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.