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Finding the Fourth Proportional to 14,878.54, 20,532.27 and 8,594.38

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Solution

The fourth proportional to 14,878.54, 20,532.27 and 8,594.38 is: 11,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.54 : 20,532.27 = 8,594.38 : x
  2. Step 2: Convert to fraction form
    14,878.54/20,532.27 = 8,594.38/x
  3. Step 3: Cross multiply
    14,878.54x = 20,532.27 × 8,594.38
  4. Step 4: Simplify right side
    14,878.54x = 176,462,130.64
  5. Step 5: Solve for x
    x = 176,462,130.64/14,878.54
  6. Step 6: Final answer
    x = 11,860.18

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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.