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Finding the Fourth Proportional to 24,701.40, 37,056.90 and 10,661.40

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Solution

The fourth proportional to 24,701.40, 37,056.90 and 10,661.40 is: 15,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701.40 : 37,056.90 = 10,661.40 : x
  2. Step 2: Convert to fraction form
    24,701.40/37,056.90 = 10,661.40/x
  3. Step 3: Cross multiply
    24,701.40x = 37,056.90 × 10,661.40
  4. Step 4: Simplify right side
    24,701.40x = 395,078,433.66
  5. Step 5: Solve for x
    x = 395,078,433.66/24,701.40
  6. Step 6: Final answer
    x = 15,994.17

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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.