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Finding the Fourth Proportional to 28,622.96, 42,934.56 and 10,142

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Solution

The fourth proportional to 28,622.96, 42,934.56 and 10,142 is: 15,213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,622.96 : 42,934.56 = 10,142 : x
  2. Step 2: Convert to fraction form
    28,622.96/42,934.56 = 10,142/x
  3. Step 3: Cross multiply
    28,622.96x = 42,934.56 × 10,142
  4. Step 4: Simplify right side
    28,622.96x = 435,442,307.52
  5. Step 5: Solve for x
    x = 435,442,307.52/28,622.96
  6. Step 6: Final answer
    x = 15,213.04

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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.