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Finding the Fourth Proportional to 14,182.01, 19,570.98 and 7,894.39

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Solution

The fourth proportional to 14,182.01, 19,570.98 and 7,894.39 is: 10,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.01 : 19,570.98 = 7,894.39 : x
  2. Step 2: Convert to fraction form
    14,182.01/19,570.98 = 7,894.39/x
  3. Step 3: Cross multiply
    14,182.01x = 19,570.98 × 7,894.39
  4. Step 4: Simplify right side
    14,182.01x = 154,500,948.80
  5. Step 5: Solve for x
    x = 154,500,948.80/14,182.01
  6. Step 6: Final answer
    x = 10,894.15

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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.