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Finding the Fourth Proportional to 14,100.18, 21,152.13 and 5,214.30

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Solution

The fourth proportional to 14,100.18, 21,152.13 and 5,214.30 is: 7,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100.18 : 21,152.13 = 5,214.30 : x
  2. Step 2: Convert to fraction form
    14,100.18/21,152.13 = 5,214.30/x
  3. Step 3: Cross multiply
    14,100.18x = 21,152.13 × 5,214.30
  4. Step 4: Simplify right side
    14,100.18x = 110,293,551.46
  5. Step 5: Solve for x
    x = 110,293,551.46/14,100.18
  6. Step 6: Final answer
    x = 7,822.14

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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.