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Finding the Fourth Proportional to 28,434.48, 42,653.88 and 8,714.50

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Solution

The fourth proportional to 28,434.48, 42,653.88 and 8,714.50 is: 13,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,434.48 : 42,653.88 = 8,714.50 : x
  2. Step 2: Convert to fraction form
    28,434.48/42,653.88 = 8,714.50/x
  3. Step 3: Cross multiply
    28,434.48x = 42,653.88 × 8,714.50
  4. Step 4: Simplify right side
    28,434.48x = 371,707,237.26
  5. Step 5: Solve for x
    x = 371,707,237.26/28,434.48
  6. Step 6: Final answer
    x = 13,072.41

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Why These Related Problems?

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