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Finding the Fourth Proportional to 15,886.40, 23,822.40 and 6,022.40

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Solution

The fourth proportional to 15,886.40, 23,822.40 and 6,022.40 is: 9,030.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.40 : 23,822.40 = 6,022.40 : x
  2. Step 2: Convert to fraction form
    15,886.40/23,822.40 = 6,022.40/x
  3. Step 3: Cross multiply
    15,886.40x = 23,822.40 × 6,022.40
  4. Step 4: Simplify right side
    15,886.40x = 143,468,021.76
  5. Step 5: Solve for x
    x = 143,468,021.76/15,886.40
  6. Step 6: Final answer
    x = 9,030.87

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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.