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Finding the Fourth Proportional to 19,152.74, 28,725.86 and 5,298.50

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Solution

The fourth proportional to 19,152.74, 28,725.86 and 5,298.50 is: 7,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,152.74 : 28,725.86 = 5,298.50 : x
  2. Step 2: Convert to fraction form
    19,152.74/28,725.86 = 5,298.50/x
  3. Step 3: Cross multiply
    19,152.74x = 28,725.86 × 5,298.50
  4. Step 4: Simplify right side
    19,152.74x = 152,203,969.21
  5. Step 5: Solve for x
    x = 152,203,969.21/19,152.74
  6. Step 6: Final answer
    x = 7,946.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.