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Finding the Fourth Proportional to 14,194.78, 21,294.74 and 5,870.28

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Solution

The fourth proportional to 14,194.78, 21,294.74 and 5,870.28 is: 8,806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.78 : 21,294.74 = 5,870.28 : x
  2. Step 2: Convert to fraction form
    14,194.78/21,294.74 = 5,870.28/x
  3. Step 3: Cross multiply
    14,194.78x = 21,294.74 × 5,870.28
  4. Step 4: Simplify right side
    14,194.78x = 125,005,950.50
  5. Step 5: Solve for x
    x = 125,005,950.50/14,194.78
  6. Step 6: Final answer
    x = 8,806.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.