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Finding the Fourth Proportional to 19,253.16, 28,872.45 and 7,560

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Solution

The fourth proportional to 19,253.16, 28,872.45 and 7,560 is: 11,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,253.16 : 28,872.45 = 7,560 : x
  2. Step 2: Convert to fraction form
    19,253.16/28,872.45 = 7,560/x
  3. Step 3: Cross multiply
    19,253.16x = 28,872.45 × 7,560
  4. Step 4: Simplify right side
    19,253.16x = 218,275,722
  5. Step 5: Solve for x
    x = 218,275,722/19,253.16
  6. Step 6: Final answer
    x = 11,337.14

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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.