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Finding the Fourth Proportional to 24,946, 37,378.30 and 11,604.50

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Solution

The fourth proportional to 24,946, 37,378.30 and 11,604.50 is: 17,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,946 : 37,378.30 = 11,604.50 : x
  2. Step 2: Convert to fraction form
    24,946/37,378.30 = 11,604.50/x
  3. Step 3: Cross multiply
    24,946x = 37,378.30 × 11,604.50
  4. Step 4: Simplify right side
    24,946x = 433,756,482.35
  5. Step 5: Solve for x
    x = 433,756,482.35/24,946
  6. Step 6: Final answer
    x = 17,387.82

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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.