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Finding the Fourth Proportional to 14,360, 21,538.76 and 4,997.60

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Solution

The fourth proportional to 14,360, 21,538.76 and 4,997.60 is: 7,495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,360 : 21,538.76 = 4,997.60 : x
  2. Step 2: Convert to fraction form
    14,360/21,538.76 = 4,997.60/x
  3. Step 3: Cross multiply
    14,360x = 21,538.76 × 4,997.60
  4. Step 4: Simplify right side
    14,360x = 107,642,081.99
  5. Step 5: Solve for x
    x = 107,642,081.99/14,360
  6. Step 6: Final answer
    x = 7,495.97

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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.