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Finding the Fourth Proportional to 19,153.64, 28,730.22 and 7,475.06

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Solution

The fourth proportional to 19,153.64, 28,730.22 and 7,475.06 is: 11,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,153.64 : 28,730.22 = 7,475.06 : x
  2. Step 2: Convert to fraction form
    19,153.64/28,730.22 = 7,475.06/x
  3. Step 3: Cross multiply
    19,153.64x = 28,730.22 × 7,475.06
  4. Step 4: Simplify right side
    19,153.64x = 214,760,118.31
  5. Step 5: Solve for x
    x = 214,760,118.31/19,153.64
  6. Step 6: Final answer
    x = 11,212.50

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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.