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Finding the Fourth Proportional to 15,407.68, 23,106.56 and 5,017

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Solution

The fourth proportional to 15,407.68, 23,106.56 and 5,017 is: 7,523.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407.68 : 23,106.56 = 5,017 : x
  2. Step 2: Convert to fraction form
    15,407.68/23,106.56 = 5,017/x
  3. Step 3: Cross multiply
    15,407.68x = 23,106.56 × 5,017
  4. Step 4: Simplify right side
    15,407.68x = 115,925,611.52
  5. Step 5: Solve for x
    x = 115,925,611.52/15,407.68
  6. Step 6: Final answer
    x = 7,523.88

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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.