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Finding the Fourth Proportional to 24,921, 37,381.50 and 9,345.96

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Solution

The fourth proportional to 24,921, 37,381.50 and 9,345.96 is: 14,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,921 : 37,381.50 = 9,345.96 : x
  2. Step 2: Convert to fraction form
    24,921/37,381.50 = 9,345.96/x
  3. Step 3: Cross multiply
    24,921x = 37,381.50 × 9,345.96
  4. Step 4: Simplify right side
    24,921x = 349,366,003.74
  5. Step 5: Solve for x
    x = 349,366,003.74/24,921
  6. Step 6: Final answer
    x = 14,018.94

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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.