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Finding the Fourth Proportional to 15,106.59, 22,639.84 and 6,785.06

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Solution

The fourth proportional to 15,106.59, 22,639.84 and 6,785.06 is: 10,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.59 : 22,639.84 = 6,785.06 : x
  2. Step 2: Convert to fraction form
    15,106.59/22,639.84 = 6,785.06/x
  3. Step 3: Cross multiply
    15,106.59x = 22,639.84 × 6,785.06
  4. Step 4: Simplify right side
    15,106.59x = 153,612,542.63
  5. Step 5: Solve for x
    x = 153,612,542.63/15,106.59
  6. Step 6: Final answer
    x = 10,168.58

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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.