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Finding the Fourth Proportional to 16,432.98, 24,667.02 and 7,077.63

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Solution

The fourth proportional to 16,432.98, 24,667.02 and 7,077.63 is: 10,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432.98 : 24,667.02 = 7,077.63 : x
  2. Step 2: Convert to fraction form
    16,432.98/24,667.02 = 7,077.63/x
  3. Step 3: Cross multiply
    16,432.98x = 24,667.02 × 7,077.63
  4. Step 4: Simplify right side
    16,432.98x = 174,584,040.76
  5. Step 5: Solve for x
    x = 174,584,040.76/16,432.98
  6. Step 6: Final answer
    x = 10,624.00

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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.