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Finding the Fourth Proportional to 16,646.56, 22,965.60 and 14,828.68

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Solution

The fourth proportional to 16,646.56, 22,965.60 and 14,828.68 is: 20,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.56 : 22,965.60 = 14,828.68 : x
  2. Step 2: Convert to fraction form
    16,646.56/22,965.60 = 14,828.68/x
  3. Step 3: Cross multiply
    16,646.56x = 22,965.60 × 14,828.68
  4. Step 4: Simplify right side
    16,646.56x = 340,549,533.41
  5. Step 5: Solve for x
    x = 340,549,533.41/16,646.56
  6. Step 6: Final answer
    x = 20,457.65

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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.