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Finding the Fourth Proportional to 14,388.84, 19,827 and 11,031.48

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Solution

The fourth proportional to 14,388.84, 19,827 and 11,031.48 is: 15,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,388.84 : 19,827 = 11,031.48 : x
  2. Step 2: Convert to fraction form
    14,388.84/19,827 = 11,031.48/x
  3. Step 3: Cross multiply
    14,388.84x = 19,827 × 11,031.48
  4. Step 4: Simplify right side
    14,388.84x = 218,721,153.96
  5. Step 5: Solve for x
    x = 218,721,153.96/14,388.84
  6. Step 6: Final answer
    x = 15,200.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.