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Finding the Fourth Proportional to 14,878.48, 20,532.52 and 8,506.40

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Solution

The fourth proportional to 14,878.48, 20,532.52 and 8,506.40 is: 11,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.48 : 20,532.52 = 8,506.40 : x
  2. Step 2: Convert to fraction form
    14,878.48/20,532.52 = 8,506.40/x
  3. Step 3: Cross multiply
    14,878.48x = 20,532.52 × 8,506.40
  4. Step 4: Simplify right side
    14,878.48x = 174,657,828.13
  5. Step 5: Solve for x
    x = 174,657,828.13/14,878.48
  6. Step 6: Final answer
    x = 11,738.96

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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.