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Finding the Fourth Proportional to 16,967.70, 25,461.47 and 7,106.15

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Solution

The fourth proportional to 16,967.70, 25,461.47 and 7,106.15 is: 10,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967.70 : 25,461.47 = 7,106.15 : x
  2. Step 2: Convert to fraction form
    16,967.70/25,461.47 = 7,106.15/x
  3. Step 3: Cross multiply
    16,967.70x = 25,461.47 × 7,106.15
  4. Step 4: Simplify right side
    16,967.70x = 180,933,106.46
  5. Step 5: Solve for x
    x = 180,933,106.46/16,967.70
  6. Step 6: Final answer
    x = 10,663.38

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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.