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Finding the Fourth Proportional to 14,437, 21,646.16 and 9,491.64

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Solution

The fourth proportional to 14,437, 21,646.16 and 9,491.64 is: 14,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437 : 21,646.16 = 9,491.64 : x
  2. Step 2: Convert to fraction form
    14,437/21,646.16 = 9,491.64/x
  3. Step 3: Cross multiply
    14,437x = 21,646.16 × 9,491.64
  4. Step 4: Simplify right side
    14,437x = 205,457,558.10
  5. Step 5: Solve for x
    x = 205,457,558.10/14,437
  6. Step 6: Final answer
    x = 14,231.32

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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.