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Finding the Fourth Proportional to 28,175.93, 42,269.52 and 10,406.69

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Solution

The fourth proportional to 28,175.93, 42,269.52 and 10,406.69 is: 15,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,175.93 : 42,269.52 = 10,406.69 : x
  2. Step 2: Convert to fraction form
    28,175.93/42,269.52 = 10,406.69/x
  3. Step 3: Cross multiply
    28,175.93x = 42,269.52 × 10,406.69
  4. Step 4: Simplify right side
    28,175.93x = 439,885,579.74
  5. Step 5: Solve for x
    x = 439,885,579.74/28,175.93
  6. Step 6: Final answer
    x = 15,612.11

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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.