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Finding the Fourth Proportional to 28,004.34, 42,007.32 and 10,470.82

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Solution

The fourth proportional to 28,004.34, 42,007.32 and 10,470.82 is: 15,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,004.34 : 42,007.32 = 10,470.82 : x
  2. Step 2: Convert to fraction form
    28,004.34/42,007.32 = 10,470.82/x
  3. Step 3: Cross multiply
    28,004.34x = 42,007.32 × 10,470.82
  4. Step 4: Simplify right side
    28,004.34x = 439,851,086.40
  5. Step 5: Solve for x
    x = 439,851,086.40/28,004.34
  6. Step 6: Final answer
    x = 15,706.53

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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.