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Finding the Fourth Proportional to 28,552.34, 42,829.46 and 9,832.18

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Solution

The fourth proportional to 28,552.34, 42,829.46 and 9,832.18 is: 14,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,552.34 : 42,829.46 = 9,832.18 : x
  2. Step 2: Convert to fraction form
    28,552.34/42,829.46 = 9,832.18/x
  3. Step 3: Cross multiply
    28,552.34x = 42,829.46 × 9,832.18
  4. Step 4: Simplify right side
    28,552.34x = 421,106,960.02
  5. Step 5: Solve for x
    x = 421,106,960.02/28,552.34
  6. Step 6: Final answer
    x = 14,748.60

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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.