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Finding the Fourth Proportional to 14,467.80, 21,702.42 and 4,078.20

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Solution

The fourth proportional to 14,467.80, 21,702.42 and 4,078.20 is: 6,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.80 : 21,702.42 = 4,078.20 : x
  2. Step 2: Convert to fraction form
    14,467.80/21,702.42 = 4,078.20/x
  3. Step 3: Cross multiply
    14,467.80x = 21,702.42 × 4,078.20
  4. Step 4: Simplify right side
    14,467.80x = 88,506,809.24
  5. Step 5: Solve for x
    x = 88,506,809.24/14,467.80
  6. Step 6: Final answer
    x = 6,117.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.