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Finding the Fourth Proportional to 24,567.98, 36,858.17 and 9,776.84

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Solution

The fourth proportional to 24,567.98, 36,858.17 and 9,776.84 is: 14,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,567.98 : 36,858.17 = 9,776.84 : x
  2. Step 2: Convert to fraction form
    24,567.98/36,858.17 = 9,776.84/x
  3. Step 3: Cross multiply
    24,567.98x = 36,858.17 × 9,776.84
  4. Step 4: Simplify right side
    24,567.98x = 360,356,270.93
  5. Step 5: Solve for x
    x = 360,356,270.93/24,567.98
  6. Step 6: Final answer
    x = 14,667.72

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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.