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Finding the Fourth Proportional to 19,316.40, 28,976.76 and 6,164.16

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Solution

The fourth proportional to 19,316.40, 28,976.76 and 6,164.16 is: 9,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,316.40 : 28,976.76 = 6,164.16 : x
  2. Step 2: Convert to fraction form
    19,316.40/28,976.76 = 6,164.16/x
  3. Step 3: Cross multiply
    19,316.40x = 28,976.76 × 6,164.16
  4. Step 4: Simplify right side
    19,316.40x = 178,617,384.92
  5. Step 5: Solve for x
    x = 178,617,384.92/19,316.40
  6. Step 6: Final answer
    x = 9,246.93

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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.