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Finding the Fourth Proportional to 17,030.15, 23,472.07 and 16,046

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Solution

The fourth proportional to 17,030.15, 23,472.07 and 16,046 is: 22,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,030.15 : 23,472.07 = 16,046 : x
  2. Step 2: Convert to fraction form
    17,030.15/23,472.07 = 16,046/x
  3. Step 3: Cross multiply
    17,030.15x = 23,472.07 × 16,046
  4. Step 4: Simplify right side
    17,030.15x = 376,632,835.22
  5. Step 5: Solve for x
    x = 376,632,835.22/17,030.15
  6. Step 6: Final answer
    x = 22,115.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.