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Finding the Fourth Proportional to 16,384.60, 22,587.82 and 13,856.54

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Solution

The fourth proportional to 16,384.60, 22,587.82 and 13,856.54 is: 19,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.60 : 22,587.82 = 13,856.54 : x
  2. Step 2: Convert to fraction form
    16,384.60/22,587.82 = 13,856.54/x
  3. Step 3: Cross multiply
    16,384.60x = 22,587.82 × 13,856.54
  4. Step 4: Simplify right side
    16,384.60x = 312,989,031.34
  5. Step 5: Solve for x
    x = 312,989,031.34/16,384.60
  6. Step 6: Final answer
    x = 19,102.63

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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.