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Finding the Fourth Proportional to 12,124.80, 16,718.40 and 10,022.40

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Solution

The fourth proportional to 12,124.80, 16,718.40 and 10,022.40 is: 13,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.80 : 16,718.40 = 10,022.40 : x
  2. Step 2: Convert to fraction form
    12,124.80/16,718.40 = 10,022.40/x
  3. Step 3: Cross multiply
    12,124.80x = 16,718.40 × 10,022.40
  4. Step 4: Simplify right side
    12,124.80x = 167,558,492.16
  5. Step 5: Solve for x
    x = 167,558,492.16/12,124.80
  6. Step 6: Final answer
    x = 13,819.49

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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.