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Finding the Fourth Proportional to 24,047.84, 36,072 and 8,465.60

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Solution

The fourth proportional to 24,047.84, 36,072 and 8,465.60 is: 12,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.84 : 36,072 = 8,465.60 : x
  2. Step 2: Convert to fraction form
    24,047.84/36,072 = 8,465.60/x
  3. Step 3: Cross multiply
    24,047.84x = 36,072 × 8,465.60
  4. Step 4: Simplify right side
    24,047.84x = 305,371,123.20
  5. Step 5: Solve for x
    x = 305,371,123.20/24,047.84
  6. Step 6: Final answer
    x = 12,698.48

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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.