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Finding the Fourth Proportional to 11,698.31, 16,160.75 and 10,123.67

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Solution

The fourth proportional to 11,698.31, 16,160.75 and 10,123.67 is: 13,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.31 : 16,160.75 = 10,123.67 : x
  2. Step 2: Convert to fraction form
    11,698.31/16,160.75 = 10,123.67/x
  3. Step 3: Cross multiply
    11,698.31x = 16,160.75 × 10,123.67
  4. Step 4: Simplify right side
    11,698.31x = 163,606,099.95
  5. Step 5: Solve for x
    x = 163,606,099.95/11,698.31
  6. Step 6: Final answer
    x = 13,985.45

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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.