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Finding the Fourth Proportional to 18,765, 25,895.70 and 10,382.76

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Solution

The fourth proportional to 18,765, 25,895.70 and 10,382.76 is: 14,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,765 : 25,895.70 = 10,382.76 : x
  2. Step 2: Convert to fraction form
    18,765/25,895.70 = 10,382.76/x
  3. Step 3: Cross multiply
    18,765x = 25,895.70 × 10,382.76
  4. Step 4: Simplify right side
    18,765x = 268,868,838.13
  5. Step 5: Solve for x
    x = 268,868,838.13/18,765
  6. Step 6: Final answer
    x = 14,328.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.