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Finding the Fourth Proportional to 15,198.71, 22,798.01 and 4,106.49

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Solution

The fourth proportional to 15,198.71, 22,798.01 and 4,106.49 is: 6,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.71 : 22,798.01 = 4,106.49 : x
  2. Step 2: Convert to fraction form
    15,198.71/22,798.01 = 4,106.49/x
  3. Step 3: Cross multiply
    15,198.71x = 22,798.01 × 4,106.49
  4. Step 4: Simplify right side
    15,198.71x = 93,619,779.55
  5. Step 5: Solve for x
    x = 93,619,779.55/15,198.71
  6. Step 6: Final answer
    x = 6,159.72

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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.