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Finding the Fourth Proportional to 16,207.60, 22,360.34 and 10,237

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Solution

The fourth proportional to 16,207.60, 22,360.34 and 10,237 is: 14,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207.60 : 22,360.34 = 10,237 : x
  2. Step 2: Convert to fraction form
    16,207.60/22,360.34 = 10,237/x
  3. Step 3: Cross multiply
    16,207.60x = 22,360.34 × 10,237
  4. Step 4: Simplify right side
    16,207.60x = 228,902,800.58
  5. Step 5: Solve for x
    x = 228,902,800.58/16,207.60
  6. Step 6: Final answer
    x = 14,123.18

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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.