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Finding the Fourth Proportional to 14,468.20, 21,702.30 and 5,698.60

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Solution

The fourth proportional to 14,468.20, 21,702.30 and 5,698.60 is: 8,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.20 : 21,702.30 = 5,698.60 : x
  2. Step 2: Convert to fraction form
    14,468.20/21,702.30 = 5,698.60/x
  3. Step 3: Cross multiply
    14,468.20x = 21,702.30 × 5,698.60
  4. Step 4: Simplify right side
    14,468.20x = 123,672,726.78
  5. Step 5: Solve for x
    x = 123,672,726.78/14,468.20
  6. Step 6: Final answer
    x = 8,547.90

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