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Finding the Fourth Proportional to 15,106.40, 22,668.48 and 6,340.64

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Solution

The fourth proportional to 15,106.40, 22,668.48 and 6,340.64 is: 9,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.40 : 22,668.48 = 6,340.64 : x
  2. Step 2: Convert to fraction form
    15,106.40/22,668.48 = 6,340.64/x
  3. Step 3: Cross multiply
    15,106.40x = 22,668.48 × 6,340.64
  4. Step 4: Simplify right side
    15,106.40x = 143,732,671.03
  5. Step 5: Solve for x
    x = 143,732,671.03/15,106.40
  6. Step 6: Final answer
    x = 9,514.69

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