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Finding the Fourth Proportional to 24,894, 37,327.80 and 7,361.40

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Solution

The fourth proportional to 24,894, 37,327.80 and 7,361.40 is: 11,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894 : 37,327.80 = 7,361.40 : x
  2. Step 2: Convert to fraction form
    24,894/37,327.80 = 7,361.40/x
  3. Step 3: Cross multiply
    24,894x = 37,327.80 × 7,361.40
  4. Step 4: Simplify right side
    24,894x = 274,784,866.92
  5. Step 5: Solve for x
    x = 274,784,866.92/24,894
  6. Step 6: Final answer
    x = 11,038.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.