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Finding the Fourth Proportional to 24,956.32, 37,423.40 and 9,363

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Solution

The fourth proportional to 24,956.32, 37,423.40 and 9,363 is: 14,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,956.32 : 37,423.40 = 9,363 : x
  2. Step 2: Convert to fraction form
    24,956.32/37,423.40 = 9,363/x
  3. Step 3: Cross multiply
    24,956.32x = 37,423.40 × 9,363
  4. Step 4: Simplify right side
    24,956.32x = 350,395,294.20
  5. Step 5: Solve for x
    x = 350,395,294.20/24,956.32
  6. Step 6: Final answer
    x = 14,040.34

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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.