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Finding the Fourth Proportional to 16,466.70, 23,111.70 and 16,466.70

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Solution

The fourth proportional to 16,466.70, 23,111.70 and 16,466.70 is: 23,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.70 : 23,111.70 = 16,466.70 : x
  2. Step 2: Convert to fraction form
    16,466.70/23,111.70 = 16,466.70/x
  3. Step 3: Cross multiply
    16,466.70x = 23,111.70 × 16,466.70
  4. Step 4: Simplify right side
    16,466.70x = 380,573,430.39
  5. Step 5: Solve for x
    x = 380,573,430.39/16,466.70
  6. Step 6: Final answer
    x = 23,111.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.