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Finding the Fourth Proportional to 28,159.84, 38,854.03 and 16,833

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Solution

The fourth proportional to 28,159.84, 38,854.03 and 16,833 is: 23,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,159.84 : 38,854.03 = 16,833 : x
  2. Step 2: Convert to fraction form
    28,159.84/38,854.03 = 16,833/x
  3. Step 3: Cross multiply
    28,159.84x = 38,854.03 × 16,833
  4. Step 4: Simplify right side
    28,159.84x = 654,029,886.99
  5. Step 5: Solve for x
    x = 654,029,886.99/28,159.84
  6. Step 6: Final answer
    x = 23,225.63

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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.