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Finding the Fourth Proportional to 19,870.76, 29,806.14 and 6,019.88

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Solution

The fourth proportional to 19,870.76, 29,806.14 and 6,019.88 is: 9,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.76 : 29,806.14 = 6,019.88 : x
  2. Step 2: Convert to fraction form
    19,870.76/29,806.14 = 6,019.88/x
  3. Step 3: Cross multiply
    19,870.76x = 29,806.14 × 6,019.88
  4. Step 4: Simplify right side
    19,870.76x = 179,429,386.06
  5. Step 5: Solve for x
    x = 179,429,386.06/19,870.76
  6. Step 6: Final answer
    x = 9,029.82

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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.