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Finding the Fourth Proportional to 14,693.64, 20,267.18 and 9,386.08

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Solution

The fourth proportional to 14,693.64, 20,267.18 and 9,386.08 is: 12,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.64 : 20,267.18 = 9,386.08 : x
  2. Step 2: Convert to fraction form
    14,693.64/20,267.18 = 9,386.08/x
  3. Step 3: Cross multiply
    14,693.64x = 20,267.18 × 9,386.08
  4. Step 4: Simplify right side
    14,693.64x = 190,229,372.85
  5. Step 5: Solve for x
    x = 190,229,372.85/14,693.64
  6. Step 6: Final answer
    x = 12,946.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.