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Finding the Fourth Proportional to 15,897.64, 23,846.64 and 4,804.42

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Solution

The fourth proportional to 15,897.64, 23,846.64 and 4,804.42 is: 7,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.64 : 23,846.64 = 4,804.42 : x
  2. Step 2: Convert to fraction form
    15,897.64/23,846.64 = 4,804.42/x
  3. Step 3: Cross multiply
    15,897.64x = 23,846.64 × 4,804.42
  4. Step 4: Simplify right side
    15,897.64x = 114,569,274.15
  5. Step 5: Solve for x
    x = 114,569,274.15/15,897.64
  6. Step 6: Final answer
    x = 7,206.68

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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.