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Finding the Fourth Proportional to 14,978.02, 20,670.69 and 8,690.40

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Solution

The fourth proportional to 14,978.02, 20,670.69 and 8,690.40 is: 11,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.02 : 20,670.69 = 8,690.40 : x
  2. Step 2: Convert to fraction form
    14,978.02/20,670.69 = 8,690.40/x
  3. Step 3: Cross multiply
    14,978.02x = 20,670.69 × 8,690.40
  4. Step 4: Simplify right side
    14,978.02x = 179,636,564.38
  5. Step 5: Solve for x
    x = 179,636,564.38/14,978.02
  6. Step 6: Final answer
    x = 11,993.35

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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.