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Finding the Fourth Proportional to 16,859.61, 23,266.35 and 9,306

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Solution

The fourth proportional to 16,859.61, 23,266.35 and 9,306 is: 12,842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,859.61 : 23,266.35 = 9,306 : x
  2. Step 2: Convert to fraction form
    16,859.61/23,266.35 = 9,306/x
  3. Step 3: Cross multiply
    16,859.61x = 23,266.35 × 9,306
  4. Step 4: Simplify right side
    16,859.61x = 216,516,653.10
  5. Step 5: Solve for x
    x = 216,516,653.10/16,859.61
  6. Step 6: Final answer
    x = 12,842.33

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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.