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Finding the Fourth Proportional to 16,283, 24,425.54 and 4,597.13

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Solution

The fourth proportional to 16,283, 24,425.54 and 4,597.13 is: 6,895.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283 : 24,425.54 = 4,597.13 : x
  2. Step 2: Convert to fraction form
    16,283/24,425.54 = 4,597.13/x
  3. Step 3: Cross multiply
    16,283x = 24,425.54 × 4,597.13
  4. Step 4: Simplify right side
    16,283x = 112,287,382.70
  5. Step 5: Solve for x
    x = 112,287,382.70/16,283
  6. Step 6: Final answer
    x = 6,895.99

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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.