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Finding the Fourth Proportional to 14,626.26, 20,178.98 and 8,335

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Solution

The fourth proportional to 14,626.26, 20,178.98 and 8,335 is: 11,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,626.26 : 20,178.98 = 8,335 : x
  2. Step 2: Convert to fraction form
    14,626.26/20,178.98 = 8,335/x
  3. Step 3: Cross multiply
    14,626.26x = 20,178.98 × 8,335
  4. Step 4: Simplify right side
    14,626.26x = 168,191,798.30
  5. Step 5: Solve for x
    x = 168,191,798.30/14,626.26
  6. Step 6: Final answer
    x = 11,499.30

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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.