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Finding the Fourth Proportional to 15,749.46, 23,607.99 and 6,988.50

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Solution

The fourth proportional to 15,749.46, 23,607.99 and 6,988.50 is: 10,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,749.46 : 23,607.99 = 6,988.50 : x
  2. Step 2: Convert to fraction form
    15,749.46/23,607.99 = 6,988.50/x
  3. Step 3: Cross multiply
    15,749.46x = 23,607.99 × 6,988.50
  4. Step 4: Simplify right side
    15,749.46x = 164,984,438.12
  5. Step 5: Solve for x
    x = 164,984,438.12/15,749.46
  6. Step 6: Final answer
    x = 10,475.56

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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.