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Finding the Fourth Proportional to 14,102.02, 21,154.92 and 4,240

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Solution

The fourth proportional to 14,102.02, 21,154.92 and 4,240 is: 6,360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.02 : 21,154.92 = 4,240 : x
  2. Step 2: Convert to fraction form
    14,102.02/21,154.92 = 4,240/x
  3. Step 3: Cross multiply
    14,102.02x = 21,154.92 × 4,240
  4. Step 4: Simplify right side
    14,102.02x = 89,696,860.80
  5. Step 5: Solve for x
    x = 89,696,860.80/14,102.02
  6. Step 6: Final answer
    x = 6,360.57

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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.