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Finding the Fourth Proportional to 14,202, 21,312 and 5,994

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Solution

The fourth proportional to 14,202, 21,312 and 5,994 is: 8,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202 : 21,312 = 5,994 : x
  2. Step 2: Convert to fraction form
    14,202/21,312 = 5,994/x
  3. Step 3: Cross multiply
    14,202x = 21,312 × 5,994
  4. Step 4: Simplify right side
    14,202x = 127,744,128
  5. Step 5: Solve for x
    x = 127,744,128/14,202
  6. Step 6: Final answer
    x = 8,994.80

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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.