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Finding the Fourth Proportional to 28,557, 42,838.36 and 9,834.60

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Solution

The fourth proportional to 28,557, 42,838.36 and 9,834.60 is: 14,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,557 : 42,838.36 = 9,834.60 : x
  2. Step 2: Convert to fraction form
    28,557/42,838.36 = 9,834.60/x
  3. Step 3: Cross multiply
    28,557x = 42,838.36 × 9,834.60
  4. Step 4: Simplify right side
    28,557x = 421,298,135.26
  5. Step 5: Solve for x
    x = 421,298,135.26/28,557
  6. Step 6: Final answer
    x = 14,752.88

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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.