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Finding the Fourth Proportional to 19,117, 28,624.06 and 10,784.53

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Solution

The fourth proportional to 19,117, 28,624.06 and 10,784.53 is: 16,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,117 : 28,624.06 = 10,784.53 : x
  2. Step 2: Convert to fraction form
    19,117/28,624.06 = 10,784.53/x
  3. Step 3: Cross multiply
    19,117x = 28,624.06 × 10,784.53
  4. Step 4: Simplify right side
    19,117x = 308,697,033.79
  5. Step 5: Solve for x
    x = 308,697,033.79/19,117
  6. Step 6: Final answer
    x = 16,147.78

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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.