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Finding the Fourth Proportional to 17,628, 24,328.80 and 10,176

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Solution

The fourth proportional to 17,628, 24,328.80 and 10,176 is: 14,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,628 : 24,328.80 = 10,176 : x
  2. Step 2: Convert to fraction form
    17,628/24,328.80 = 10,176/x
  3. Step 3: Cross multiply
    17,628x = 24,328.80 × 10,176
  4. Step 4: Simplify right side
    17,628x = 247,569,868.80
  5. Step 5: Solve for x
    x = 247,569,868.80/17,628
  6. Step 6: Final answer
    x = 14,044.13

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