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Finding the Fourth Proportional to 28,104.86, 42,152.70 and 9,384.14

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Solution

The fourth proportional to 28,104.86, 42,152.70 and 9,384.14 is: 14,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,104.86 : 42,152.70 = 9,384.14 : x
  2. Step 2: Convert to fraction form
    28,104.86/42,152.70 = 9,384.14/x
  3. Step 3: Cross multiply
    28,104.86x = 42,152.70 × 9,384.14
  4. Step 4: Simplify right side
    28,104.86x = 395,566,838.18
  5. Step 5: Solve for x
    x = 395,566,838.18/28,104.86
  6. Step 6: Final answer
    x = 14,074.68

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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.