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Finding the Fourth Proportional to 14,656, 20,226.72 and 8,368.48

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Solution

The fourth proportional to 14,656, 20,226.72 and 8,368.48 is: 11,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656 : 20,226.72 = 8,368.48 : x
  2. Step 2: Convert to fraction form
    14,656/20,226.72 = 8,368.48/x
  3. Step 3: Cross multiply
    14,656x = 20,226.72 × 8,368.48
  4. Step 4: Simplify right side
    14,656x = 169,266,901.79
  5. Step 5: Solve for x
    x = 169,266,901.79/14,656
  6. Step 6: Final answer
    x = 11,549.32

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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.