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Finding the Fourth Proportional to 19,094, 28,641.72 and 5,946.32

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Solution

The fourth proportional to 19,094, 28,641.72 and 5,946.32 is: 8,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,094 : 28,641.72 = 5,946.32 : x
  2. Step 2: Convert to fraction form
    19,094/28,641.72 = 5,946.32/x
  3. Step 3: Cross multiply
    19,094x = 28,641.72 × 5,946.32
  4. Step 4: Simplify right side
    19,094x = 170,312,832.47
  5. Step 5: Solve for x
    x = 170,312,832.47/19,094
  6. Step 6: Final answer
    x = 8,919.70

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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.