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Finding the Fourth Proportional to 14,304.84, 19,742.96 and 8,340

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Solution

The fourth proportional to 14,304.84, 19,742.96 and 8,340 is: 11,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,304.84 : 19,742.96 = 8,340 : x
  2. Step 2: Convert to fraction form
    14,304.84/19,742.96 = 8,340/x
  3. Step 3: Cross multiply
    14,304.84x = 19,742.96 × 8,340
  4. Step 4: Simplify right side
    14,304.84x = 164,656,286.40
  5. Step 5: Solve for x
    x = 164,656,286.40/14,304.84
  6. Step 6: Final answer
    x = 11,510.53

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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.