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Finding the Fourth Proportional to 14,015.16, 21,031.84 and 5,250

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Solution

The fourth proportional to 14,015.16, 21,031.84 and 5,250 is: 7,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.16 : 21,031.84 = 5,250 : x
  2. Step 2: Convert to fraction form
    14,015.16/21,031.84 = 5,250/x
  3. Step 3: Cross multiply
    14,015.16x = 21,031.84 × 5,250
  4. Step 4: Simplify right side
    14,015.16x = 110,417,160
  5. Step 5: Solve for x
    x = 110,417,160/14,015.16
  6. Step 6: Final answer
    x = 7,878.41

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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.