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Finding the Fourth Proportional to 14,760.64, 20,368.38 and 8,386.84

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Solution

The fourth proportional to 14,760.64, 20,368.38 and 8,386.84 is: 11,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,760.64 : 20,368.38 = 8,386.84 : x
  2. Step 2: Convert to fraction form
    14,760.64/20,368.38 = 8,386.84/x
  3. Step 3: Cross multiply
    14,760.64x = 20,368.38 × 8,386.84
  4. Step 4: Simplify right side
    14,760.64x = 170,826,344.12
  5. Step 5: Solve for x
    x = 170,826,344.12/14,760.64
  6. Step 6: Final answer
    x = 11,573.10

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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.