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Finding the Fourth Proportional to 28,553.34, 42,830.96 and 9,833.18

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Solution

The fourth proportional to 28,553.34, 42,830.96 and 9,833.18 is: 14,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,553.34 : 42,830.96 = 9,833.18 : x
  2. Step 2: Convert to fraction form
    28,553.34/42,830.96 = 9,833.18/x
  3. Step 3: Cross multiply
    28,553.34x = 42,830.96 × 9,833.18
  4. Step 4: Simplify right side
    28,553.34x = 421,164,539.25
  5. Step 5: Solve for x
    x = 421,164,539.25/28,553.34
  6. Step 6: Final answer
    x = 14,750.10

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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.