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Finding the Fourth Proportional to 16,482.40, 22,756.18 and 10,827.18

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Solution

The fourth proportional to 16,482.40, 22,756.18 and 10,827.18 is: 14,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482.40 : 22,756.18 = 10,827.18 : x
  2. Step 2: Convert to fraction form
    16,482.40/22,756.18 = 10,827.18/x
  3. Step 3: Cross multiply
    16,482.40x = 22,756.18 × 10,827.18
  4. Step 4: Simplify right side
    16,482.40x = 246,385,256.97
  5. Step 5: Solve for x
    x = 246,385,256.97/16,482.40
  6. Step 6: Final answer
    x = 14,948.38

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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.