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Finding the Fourth Proportional to 28,670, 42,989.50 and 9,948.68

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Solution

The fourth proportional to 28,670, 42,989.50 and 9,948.68 is: 14,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,670 : 42,989.50 = 9,948.68 : x
  2. Step 2: Convert to fraction form
    28,670/42,989.50 = 9,948.68/x
  3. Step 3: Cross multiply
    28,670x = 42,989.50 × 9,948.68
  4. Step 4: Simplify right side
    28,670x = 427,688,778.86
  5. Step 5: Solve for x
    x = 427,688,778.86/28,670
  6. Step 6: Final answer
    x = 14,917.64

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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.