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Finding the Fourth Proportional to 14,463.95, 21,697.63 and 5,102.01

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Solution

The fourth proportional to 14,463.95, 21,697.63 and 5,102.01 is: 7,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.95 : 21,697.63 = 5,102.01 : x
  2. Step 2: Convert to fraction form
    14,463.95/21,697.63 = 5,102.01/x
  3. Step 3: Cross multiply
    14,463.95x = 21,697.63 × 5,102.01
  4. Step 4: Simplify right side
    14,463.95x = 110,701,512.48
  5. Step 5: Solve for x
    x = 110,701,512.48/14,463.95
  6. Step 6: Final answer
    x = 7,653.62

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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.